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Finding the Fourth Proportional to 15,471.69, 21,350.80 and 8,398.12

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Solution

The fourth proportional to 15,471.69, 21,350.80 and 8,398.12 is: 11,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.69 : 21,350.80 = 8,398.12 : x
  2. Step 2: Convert to fraction form
    15,471.69/21,350.80 = 8,398.12/x
  3. Step 3: Cross multiply
    15,471.69x = 21,350.80 × 8,398.12
  4. Step 4: Simplify right side
    15,471.69x = 179,306,580.50
  5. Step 5: Solve for x
    x = 179,306,580.50/15,471.69
  6. Step 6: Final answer
    x = 11,589.33

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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.