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Finding the Fourth Proportional to 13,642.48, 20,444.48 and 10,856.76

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Solution

The fourth proportional to 13,642.48, 20,444.48 and 10,856.76 is: 16,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.48 : 20,444.48 = 10,856.76 : x
  2. Step 2: Convert to fraction form
    13,642.48/20,444.48 = 10,856.76/x
  3. Step 3: Cross multiply
    13,642.48x = 20,444.48 × 10,856.76
  4. Step 4: Simplify right side
    13,642.48x = 221,960,812.68
  5. Step 5: Solve for x
    x = 221,960,812.68/13,642.48
  6. Step 6: Final answer
    x = 16,269.83

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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.