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Finding the Fourth Proportional to 1,570, 2,356.13 and 1,265.53

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Solution

The fourth proportional to 1,570, 2,356.13 and 1,265.53 is: 1,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570 : 2,356.13 = 1,265.53 : x
  2. Step 2: Convert to fraction form
    1,570/2,356.13 = 1,265.53/x
  3. Step 3: Cross multiply
    1,570x = 2,356.13 × 1,265.53
  4. Step 4: Simplify right side
    1,570x = 2,981,753.20
  5. Step 5: Solve for x
    x = 2,981,753.20/1,570
  6. Step 6: Final answer
    x = 1,899.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.