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Finding the Fourth Proportional to 9,805.52, 13,531.92 and 5,615.12

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Solution

The fourth proportional to 9,805.52, 13,531.92 and 5,615.12 is: 7,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.52 : 13,531.92 = 5,615.12 : x
  2. Step 2: Convert to fraction form
    9,805.52/13,531.92 = 5,615.12/x
  3. Step 3: Cross multiply
    9,805.52x = 13,531.92 × 5,615.12
  4. Step 4: Simplify right side
    9,805.52x = 75,983,354.63
  5. Step 5: Solve for x
    x = 75,983,354.63/9,805.52
  6. Step 6: Final answer
    x = 7,749.04

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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.