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Finding the Fourth Proportional to 10,710.50, 14,787.36 and 7,352.24

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Solution

The fourth proportional to 10,710.50, 14,787.36 and 7,352.24 is: 10,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.50 : 14,787.36 = 7,352.24 : x
  2. Step 2: Convert to fraction form
    10,710.50/14,787.36 = 7,352.24/x
  3. Step 3: Cross multiply
    10,710.50x = 14,787.36 × 7,352.24
  4. Step 4: Simplify right side
    10,710.50x = 108,720,145.75
  5. Step 5: Solve for x
    x = 108,720,145.75/10,710.50
  6. Step 6: Final answer
    x = 10,150.80

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