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Finding the Fourth Proportional to 13,471.47, 18,589.68 and 8,435.46

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Solution

The fourth proportional to 13,471.47, 18,589.68 and 8,435.46 is: 11,640.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.47 : 18,589.68 = 8,435.46 : x
  2. Step 2: Convert to fraction form
    13,471.47/18,589.68 = 8,435.46/x
  3. Step 3: Cross multiply
    13,471.47x = 18,589.68 × 8,435.46
  4. Step 4: Simplify right side
    13,471.47x = 156,812,502.05
  5. Step 5: Solve for x
    x = 156,812,502.05/13,471.47
  6. Step 6: Final answer
    x = 11,640.34

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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.