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Finding the Fourth Proportional to 11,507.67, 15,881.40 and 6,793.47

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Solution

The fourth proportional to 11,507.67, 15,881.40 and 6,793.47 is: 9,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.67 : 15,881.40 = 6,793.47 : x
  2. Step 2: Convert to fraction form
    11,507.67/15,881.40 = 6,793.47/x
  3. Step 3: Cross multiply
    11,507.67x = 15,881.40 × 6,793.47
  4. Step 4: Simplify right side
    11,507.67x = 107,889,814.46
  5. Step 5: Solve for x
    x = 107,889,814.46/11,507.67
  6. Step 6: Final answer
    x = 9,375.47

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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.