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Finding the Fourth Proportional to 1,772.97, 2,446.76 and 987.06

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Solution

The fourth proportional to 1,772.97, 2,446.76 and 987.06 is: 1,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.97 : 2,446.76 = 987.06 : x
  2. Step 2: Convert to fraction form
    1,772.97/2,446.76 = 987.06/x
  3. Step 3: Cross multiply
    1,772.97x = 2,446.76 × 987.06
  4. Step 4: Simplify right side
    1,772.97x = 2,415,098.93
  5. Step 5: Solve for x
    x = 2,415,098.93/1,772.97
  6. Step 6: Final answer
    x = 1,362.18

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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.