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Finding the Fourth Proportional to 1,584.16, 2,185.92 and 986.74

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Solution

The fourth proportional to 1,584.16, 2,185.92 and 986.74 is: 1,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.16 : 2,185.92 = 986.74 : x
  2. Step 2: Convert to fraction form
    1,584.16/2,185.92 = 986.74/x
  3. Step 3: Cross multiply
    1,584.16x = 2,185.92 × 986.74
  4. Step 4: Simplify right side
    1,584.16x = 2,156,929.24
  5. Step 5: Solve for x
    x = 2,156,929.24/1,584.16
  6. Step 6: Final answer
    x = 1,361.56

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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.