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Finding the Fourth Proportional to 13,411.92, 18,508.68 and 7,443.84

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Solution

The fourth proportional to 13,411.92, 18,508.68 and 7,443.84 is: 10,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.92 : 18,508.68 = 7,443.84 : x
  2. Step 2: Convert to fraction form
    13,411.92/18,508.68 = 7,443.84/x
  3. Step 3: Cross multiply
    13,411.92x = 18,508.68 × 7,443.84
  4. Step 4: Simplify right side
    13,411.92x = 137,775,652.53
  5. Step 5: Solve for x
    x = 137,775,652.53/13,411.92
  6. Step 6: Final answer
    x = 10,272.63

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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.