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Finding the Fourth Proportional to 10,279.71, 15,403.41 and 7,945.43

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Solution

The fourth proportional to 10,279.71, 15,403.41 and 7,945.43 is: 11,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.71 : 15,403.41 = 7,945.43 : x
  2. Step 2: Convert to fraction form
    10,279.71/15,403.41 = 7,945.43/x
  3. Step 3: Cross multiply
    10,279.71x = 15,403.41 × 7,945.43
  4. Step 4: Simplify right side
    10,279.71x = 122,386,599.17
  5. Step 5: Solve for x
    x = 122,386,599.17/10,279.71
  6. Step 6: Final answer
    x = 11,905.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.