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Finding the Fourth Proportional to 13,726.96, 20,581.12 and 4,364.17

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Solution

The fourth proportional to 13,726.96, 20,581.12 and 4,364.17 is: 6,543.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.96 : 20,581.12 = 4,364.17 : x
  2. Step 2: Convert to fraction form
    13,726.96/20,581.12 = 4,364.17/x
  3. Step 3: Cross multiply
    13,726.96x = 20,581.12 × 4,364.17
  4. Step 4: Simplify right side
    13,726.96x = 89,819,506.47
  5. Step 5: Solve for x
    x = 89,819,506.47/13,726.96
  6. Step 6: Final answer
    x = 6,543.29

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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.