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Finding the Fourth Proportional to 10,294.35, 15,441.12 and 7,165.32

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Solution

The fourth proportional to 10,294.35, 15,441.12 and 7,165.32 is: 10,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.35 : 15,441.12 = 7,165.32 : x
  2. Step 2: Convert to fraction form
    10,294.35/15,441.12 = 7,165.32/x
  3. Step 3: Cross multiply
    10,294.35x = 15,441.12 × 7,165.32
  4. Step 4: Simplify right side
    10,294.35x = 110,640,565.96
  5. Step 5: Solve for x
    x = 110,640,565.96/10,294.35
  6. Step 6: Final answer
    x = 10,747.70

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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.