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Finding the Fourth Proportional to 9,289.59, 13,938.03 and 4,091.82

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Solution

The fourth proportional to 9,289.59, 13,938.03 and 4,091.82 is: 6,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.59 : 13,938.03 = 4,091.82 : x
  2. Step 2: Convert to fraction form
    9,289.59/13,938.03 = 4,091.82/x
  3. Step 3: Cross multiply
    9,289.59x = 13,938.03 × 4,091.82
  4. Step 4: Simplify right side
    9,289.59x = 57,031,909.91
  5. Step 5: Solve for x
    x = 57,031,909.91/9,289.59
  6. Step 6: Final answer
    x = 6,139.34

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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.