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Finding the Fourth Proportional to 11,360, 15,678.28 and 6,885.42

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Solution

The fourth proportional to 11,360, 15,678.28 and 6,885.42 is: 9,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,360 : 15,678.28 = 6,885.42 : x
  2. Step 2: Convert to fraction form
    11,360/15,678.28 = 6,885.42/x
  3. Step 3: Cross multiply
    11,360x = 15,678.28 × 6,885.42
  4. Step 4: Simplify right side
    11,360x = 107,951,542.68
  5. Step 5: Solve for x
    x = 107,951,542.68/11,360
  6. Step 6: Final answer
    x = 9,502.78

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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.