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Finding the Fourth Proportional to 13,643.92, 20,465.88 and 9,755.92

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Solution

The fourth proportional to 13,643.92, 20,465.88 and 9,755.92 is: 14,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.92 : 20,465.88 = 9,755.92 : x
  2. Step 2: Convert to fraction form
    13,643.92/20,465.88 = 9,755.92/x
  3. Step 3: Cross multiply
    13,643.92x = 20,465.88 × 9,755.92
  4. Step 4: Simplify right side
    13,643.92x = 199,663,488.01
  5. Step 5: Solve for x
    x = 199,663,488.01/13,643.92
  6. Step 6: Final answer
    x = 14,633.88

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1.5x scale

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.