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Finding the Fourth Proportional to 8,711.50, 12,021.06 and 5,175.58

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Solution

The fourth proportional to 8,711.50, 12,021.06 and 5,175.58 is: 7,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.50 : 12,021.06 = 5,175.58 : x
  2. Step 2: Convert to fraction form
    8,711.50/12,021.06 = 5,175.58/x
  3. Step 3: Cross multiply
    8,711.50x = 12,021.06 × 5,175.58
  4. Step 4: Simplify right side
    8,711.50x = 62,215,957.71
  5. Step 5: Solve for x
    x = 62,215,957.71/8,711.50
  6. Step 6: Final answer
    x = 7,141.82

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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.