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Finding the Fourth Proportional to 11,543.74, 15,930.12 and 6,507.96

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Solution

The fourth proportional to 11,543.74, 15,930.12 and 6,507.96 is: 8,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.74 : 15,930.12 = 6,507.96 : x
  2. Step 2: Convert to fraction form
    11,543.74/15,930.12 = 6,507.96/x
  3. Step 3: Cross multiply
    11,543.74x = 15,930.12 × 6,507.96
  4. Step 4: Simplify right side
    11,543.74x = 103,672,583.76
  5. Step 5: Solve for x
    x = 103,672,583.76/11,543.74
  6. Step 6: Final answer
    x = 8,980.85

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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.