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Finding the Fourth Proportional to 10,863.90, 14,992.11 and 6,148.08

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Solution

The fourth proportional to 10,863.90, 14,992.11 and 6,148.08 is: 8,484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.90 : 14,992.11 = 6,148.08 : x
  2. Step 2: Convert to fraction form
    10,863.90/14,992.11 = 6,148.08/x
  3. Step 3: Cross multiply
    10,863.90x = 14,992.11 × 6,148.08
  4. Step 4: Simplify right side
    10,863.90x = 92,172,691.65
  5. Step 5: Solve for x
    x = 92,172,691.65/10,863.90
  6. Step 6: Final answer
    x = 8,484.31

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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.