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Finding the Fourth Proportional to 8,342.32, 12,527.78 and 7,407.37

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Solution

The fourth proportional to 8,342.32, 12,527.78 and 7,407.37 is: 11,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.32 : 12,527.78 = 7,407.37 : x
  2. Step 2: Convert to fraction form
    8,342.32/12,527.78 = 7,407.37/x
  3. Step 3: Cross multiply
    8,342.32x = 12,527.78 × 7,407.37
  4. Step 4: Simplify right side
    8,342.32x = 92,797,901.74
  5. Step 5: Solve for x
    x = 92,797,901.74/8,342.32
  6. Step 6: Final answer
    x = 11,123.75

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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.