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Finding the Fourth Proportional to 10,648.40, 14,691.40 and 7,854.80

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Solution

The fourth proportional to 10,648.40, 14,691.40 and 7,854.80 is: 10,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.40 : 14,691.40 = 7,854.80 : x
  2. Step 2: Convert to fraction form
    10,648.40/14,691.40 = 7,854.80/x
  3. Step 3: Cross multiply
    10,648.40x = 14,691.40 × 7,854.80
  4. Step 4: Simplify right side
    10,648.40x = 115,398,008.72
  5. Step 5: Solve for x
    x = 115,398,008.72/10,648.40
  6. Step 6: Final answer
    x = 10,837.12

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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.