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Finding the Fourth Proportional to 11,487.78, 15,854.85 and 7,014.13

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Solution

The fourth proportional to 11,487.78, 15,854.85 and 7,014.13 is: 9,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.78 : 15,854.85 = 7,014.13 : x
  2. Step 2: Convert to fraction form
    11,487.78/15,854.85 = 7,014.13/x
  3. Step 3: Cross multiply
    11,487.78x = 15,854.85 × 7,014.13
  4. Step 4: Simplify right side
    11,487.78x = 111,207,939.39
  5. Step 5: Solve for x
    x = 111,207,939.39/11,487.78
  6. Step 6: Final answer
    x = 9,680.54

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1.5x scale

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.