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Finding the Fourth Proportional to 1,772.46, 2,446.14 and 986.76

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Solution

The fourth proportional to 1,772.46, 2,446.14 and 986.76 is: 1,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.46 : 2,446.14 = 986.76 : x
  2. Step 2: Convert to fraction form
    1,772.46/2,446.14 = 986.76/x
  3. Step 3: Cross multiply
    1,772.46x = 2,446.14 × 986.76
  4. Step 4: Simplify right side
    1,772.46x = 2,413,753.11
  5. Step 5: Solve for x
    x = 2,413,753.11/1,772.46
  6. Step 6: Final answer
    x = 1,361.81

Related Problems

Find fourth proportional to 886.23, 1,223.07 and 493.38
Half scale
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Double scale
Find fourth proportional to 1,773.46, 2,447.52 and 987.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.