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Finding the Fourth Proportional to 11,487.66, 15,838.43 and 7,502.46

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Solution

The fourth proportional to 11,487.66, 15,838.43 and 7,502.46 is: 10,343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.66 : 15,838.43 = 7,502.46 : x
  2. Step 2: Convert to fraction form
    11,487.66/15,838.43 = 7,502.46/x
  3. Step 3: Cross multiply
    11,487.66x = 15,838.43 × 7,502.46
  4. Step 4: Simplify right side
    11,487.66x = 118,827,187.54
  5. Step 5: Solve for x
    x = 118,827,187.54/11,487.66
  6. Step 6: Final answer
    x = 10,343.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.