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Finding the Fourth Proportional to 10,620.42, 14,671.17 and 8,509.97

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Solution

The fourth proportional to 10,620.42, 14,671.17 and 8,509.97 is: 11,755.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.42 : 14,671.17 = 8,509.97 : x
  2. Step 2: Convert to fraction form
    10,620.42/14,671.17 = 8,509.97/x
  3. Step 3: Cross multiply
    10,620.42x = 14,671.17 × 8,509.97
  4. Step 4: Simplify right side
    10,620.42x = 124,851,143.21
  5. Step 5: Solve for x
    x = 124,851,143.21/10,620.42
  6. Step 6: Final answer
    x = 11,755.76

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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.