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Finding the Fourth Proportional to 12,991.92, 17,931.16 and 7,689.66

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Solution

The fourth proportional to 12,991.92, 17,931.16 and 7,689.66 is: 10,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.92 : 17,931.16 = 7,689.66 : x
  2. Step 2: Convert to fraction form
    12,991.92/17,931.16 = 7,689.66/x
  3. Step 3: Cross multiply
    12,991.92x = 17,931.16 × 7,689.66
  4. Step 4: Simplify right side
    12,991.92x = 137,884,523.81
  5. Step 5: Solve for x
    x = 137,884,523.81/12,991.92
  6. Step 6: Final answer
    x = 10,613.10

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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.