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Finding the Fourth Proportional to 7,877.52, 10,869.21 and 4,474.71

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Solution

The fourth proportional to 7,877.52, 10,869.21 and 4,474.71 is: 6,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.52 : 10,869.21 = 4,474.71 : x
  2. Step 2: Convert to fraction form
    7,877.52/10,869.21 = 4,474.71/x
  3. Step 3: Cross multiply
    7,877.52x = 10,869.21 × 4,474.71
  4. Step 4: Simplify right side
    7,877.52x = 48,636,562.68
  5. Step 5: Solve for x
    x = 48,636,562.68/7,877.52
  6. Step 6: Final answer
    x = 6,174.10

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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.