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Finding the Fourth Proportional to 9,059.28, 12,489.84 and 5,910

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Solution

The fourth proportional to 9,059.28, 12,489.84 and 5,910 is: 8,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059.28 : 12,489.84 = 5,910 : x
  2. Step 2: Convert to fraction form
    9,059.28/12,489.84 = 5,910/x
  3. Step 3: Cross multiply
    9,059.28x = 12,489.84 × 5,910
  4. Step 4: Simplify right side
    9,059.28x = 73,814,954.40
  5. Step 5: Solve for x
    x = 73,814,954.40/9,059.28
  6. Step 6: Final answer
    x = 8,147.99

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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.