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Finding the Fourth Proportional to 10,931.70, 16,372.88 and 7,659.41

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Solution

The fourth proportional to 10,931.70, 16,372.88 and 7,659.41 is: 11,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.70 : 16,372.88 = 7,659.41 : x
  2. Step 2: Convert to fraction form
    10,931.70/16,372.88 = 7,659.41/x
  3. Step 3: Cross multiply
    10,931.70x = 16,372.88 × 7,659.41
  4. Step 4: Simplify right side
    10,931.70x = 125,406,480.64
  5. Step 5: Solve for x
    x = 125,406,480.64/10,931.70
  6. Step 6: Final answer
    x = 11,471.82

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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.