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Finding the Fourth Proportional to 11,672.09, 16,108.05 and 6,569.20

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Solution

The fourth proportional to 11,672.09, 16,108.05 and 6,569.20 is: 9,065.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.09 : 16,108.05 = 6,569.20 : x
  2. Step 2: Convert to fraction form
    11,672.09/16,108.05 = 6,569.20/x
  3. Step 3: Cross multiply
    11,672.09x = 16,108.05 × 6,569.20
  4. Step 4: Simplify right side
    11,672.09x = 105,817,046.83
  5. Step 5: Solve for x
    x = 105,817,046.83/11,672.09
  6. Step 6: Final answer
    x = 9,065.82

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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.