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Finding the Fourth Proportional to 15,891.48, 23,822.64 and 8,091.18

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Solution

The fourth proportional to 15,891.48, 23,822.64 and 8,091.18 is: 12,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.48 : 23,822.64 = 8,091.18 : x
  2. Step 2: Convert to fraction form
    15,891.48/23,822.64 = 8,091.18/x
  3. Step 3: Cross multiply
    15,891.48x = 23,822.64 × 8,091.18
  4. Step 4: Simplify right side
    15,891.48x = 192,753,268.32
  5. Step 5: Solve for x
    x = 192,753,268.32/15,891.48
  6. Step 6: Final answer
    x = 12,129.35

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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.