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Finding the Fourth Proportional to 10,272.56, 15,403.86 and 6,113.12

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Solution

The fourth proportional to 10,272.56, 15,403.86 and 6,113.12 is: 9,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.56 : 15,403.86 = 6,113.12 : x
  2. Step 2: Convert to fraction form
    10,272.56/15,403.86 = 6,113.12/x
  3. Step 3: Cross multiply
    10,272.56x = 15,403.86 × 6,113.12
  4. Step 4: Simplify right side
    10,272.56x = 94,165,644.64
  5. Step 5: Solve for x
    x = 94,165,644.64/10,272.56
  6. Step 6: Final answer
    x = 9,166.72

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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.