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Finding the Fourth Proportional to 9,123.52, 12,571.86 and 6,291.76

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Solution

The fourth proportional to 9,123.52, 12,571.86 and 6,291.76 is: 8,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.52 : 12,571.86 = 6,291.76 : x
  2. Step 2: Convert to fraction form
    9,123.52/12,571.86 = 6,291.76/x
  3. Step 3: Cross multiply
    9,123.52x = 12,571.86 × 6,291.76
  4. Step 4: Simplify right side
    9,123.52x = 79,099,125.87
  5. Step 5: Solve for x
    x = 79,099,125.87/9,123.52
  6. Step 6: Final answer
    x = 8,669.80

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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.