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Finding the Fourth Proportional to 9,202.68, 12,699.72 and 5,011.20

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Solution

The fourth proportional to 9,202.68, 12,699.72 and 5,011.20 is: 6,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.68 : 12,699.72 = 5,011.20 : x
  2. Step 2: Convert to fraction form
    9,202.68/12,699.72 = 5,011.20/x
  3. Step 3: Cross multiply
    9,202.68x = 12,699.72 × 5,011.20
  4. Step 4: Simplify right side
    9,202.68x = 63,640,836.86
  5. Step 5: Solve for x
    x = 63,640,836.86/9,202.68
  6. Step 6: Final answer
    x = 6,915.47

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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.