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Finding the Fourth Proportional to 9,171.77, 13,757.51 and 2,931.71

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Solution

The fourth proportional to 9,171.77, 13,757.51 and 2,931.71 is: 4,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.77 : 13,757.51 = 2,931.71 : x
  2. Step 2: Convert to fraction form
    9,171.77/13,757.51 = 2,931.71/x
  3. Step 3: Cross multiply
    9,171.77x = 13,757.51 × 2,931.71
  4. Step 4: Simplify right side
    9,171.77x = 40,332,968.18
  5. Step 5: Solve for x
    x = 40,332,968.18/9,171.77
  6. Step 6: Final answer
    x = 4,397.51

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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.