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Finding the Fourth Proportional to 9,134.40, 13,703.64 and 3,291

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Solution

The fourth proportional to 9,134.40, 13,703.64 and 3,291 is: 4,937.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.40 : 13,703.64 = 3,291 : x
  2. Step 2: Convert to fraction form
    9,134.40/13,703.64 = 3,291/x
  3. Step 3: Cross multiply
    9,134.40x = 13,703.64 × 3,291
  4. Step 4: Simplify right side
    9,134.40x = 45,098,679.24
  5. Step 5: Solve for x
    x = 45,098,679.24/9,134.40
  6. Step 6: Final answer
    x = 4,937.23

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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.