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Finding the Fourth Proportional to 10,737.68, 14,817.52 and 6,022.40

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Solution

The fourth proportional to 10,737.68, 14,817.52 and 6,022.40 is: 8,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.68 : 14,817.52 = 6,022.40 : x
  2. Step 2: Convert to fraction form
    10,737.68/14,817.52 = 6,022.40/x
  3. Step 3: Cross multiply
    10,737.68x = 14,817.52 × 6,022.40
  4. Step 4: Simplify right side
    10,737.68x = 89,237,032.45
  5. Step 5: Solve for x
    x = 89,237,032.45/10,737.68
  6. Step 6: Final answer
    x = 8,310.64

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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.