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Finding the Fourth Proportional to 14,555, 20,085.90 and 7,931

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Solution

The fourth proportional to 14,555, 20,085.90 and 7,931 is: 10,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,555 : 20,085.90 = 7,931 : x
  2. Step 2: Convert to fraction form
    14,555/20,085.90 = 7,931/x
  3. Step 3: Cross multiply
    14,555x = 20,085.90 × 7,931
  4. Step 4: Simplify right side
    14,555x = 159,301,272.90
  5. Step 5: Solve for x
    x = 159,301,272.90/14,555
  6. Step 6: Final answer
    x = 10,944.78

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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.