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Finding the Fourth Proportional to 1,737.14, 2,592.12 and 1,553

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Solution

The fourth proportional to 1,737.14, 2,592.12 and 1,553 is: 2,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.14 : 2,592.12 = 1,553 : x
  2. Step 2: Convert to fraction form
    1,737.14/2,592.12 = 1,553/x
  3. Step 3: Cross multiply
    1,737.14x = 2,592.12 × 1,553
  4. Step 4: Simplify right side
    1,737.14x = 4,025,562.36
  5. Step 5: Solve for x
    x = 4,025,562.36/1,737.14
  6. Step 6: Final answer
    x = 2,317.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.