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Finding the Fourth Proportional to 9,123.94, 12,591 and 5,537.66

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Solution

The fourth proportional to 9,123.94, 12,591 and 5,537.66 is: 7,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.94 : 12,591 = 5,537.66 : x
  2. Step 2: Convert to fraction form
    9,123.94/12,591 = 5,537.66/x
  3. Step 3: Cross multiply
    9,123.94x = 12,591 × 5,537.66
  4. Step 4: Simplify right side
    9,123.94x = 69,724,677.06
  5. Step 5: Solve for x
    x = 69,724,677.06/9,123.94
  6. Step 6: Final answer
    x = 7,641.95

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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.