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Finding the Fourth Proportional to 14,677.76, 21,961.46 and 8,732.76

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Solution

The fourth proportional to 14,677.76, 21,961.46 and 8,732.76 is: 13,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.76 : 21,961.46 = 8,732.76 : x
  2. Step 2: Convert to fraction form
    14,677.76/21,961.46 = 8,732.76/x
  3. Step 3: Cross multiply
    14,677.76x = 21,961.46 × 8,732.76
  4. Step 4: Simplify right side
    14,677.76x = 191,784,159.43
  5. Step 5: Solve for x
    x = 191,784,159.43/14,677.76
  6. Step 6: Final answer
    x = 13,066.31

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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.