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Finding the Fourth Proportional to 8,125.76, 12,190.47 and 2,931.64

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Solution

The fourth proportional to 8,125.76, 12,190.47 and 2,931.64 is: 4,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.76 : 12,190.47 = 2,931.64 : x
  2. Step 2: Convert to fraction form
    8,125.76/12,190.47 = 2,931.64/x
  3. Step 3: Cross multiply
    8,125.76x = 12,190.47 × 2,931.64
  4. Step 4: Simplify right side
    8,125.76x = 35,738,069.47
  5. Step 5: Solve for x
    x = 35,738,069.47/8,125.76
  6. Step 6: Final answer
    x = 4,398.12

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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.