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Finding the Fourth Proportional to 14,805.76, 20,432.43 and 8,091.76

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Solution

The fourth proportional to 14,805.76, 20,432.43 and 8,091.76 is: 11,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,805.76 : 20,432.43 = 8,091.76 : x
  2. Step 2: Convert to fraction form
    14,805.76/20,432.43 = 8,091.76/x
  3. Step 3: Cross multiply
    14,805.76x = 20,432.43 × 8,091.76
  4. Step 4: Simplify right side
    14,805.76x = 165,334,319.78
  5. Step 5: Solve for x
    x = 165,334,319.78/14,805.76
  6. Step 6: Final answer
    x = 11,166.89

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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.