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Finding the Fourth Proportional to 9,005.76, 13,508.16 and 5,565.12

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Solution

The fourth proportional to 9,005.76, 13,508.16 and 5,565.12 is: 8,347.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.76 : 13,508.16 = 5,565.12 : x
  2. Step 2: Convert to fraction form
    9,005.76/13,508.16 = 5,565.12/x
  3. Step 3: Cross multiply
    9,005.76x = 13,508.16 × 5,565.12
  4. Step 4: Simplify right side
    9,005.76x = 75,174,531.38
  5. Step 5: Solve for x
    x = 75,174,531.38/9,005.76
  6. Step 6: Final answer
    x = 8,347.38

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