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Finding the Fourth Proportional to 18,731.92, 25,841.28 and 12,014.32

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Solution

The fourth proportional to 18,731.92, 25,841.28 and 12,014.32 is: 16,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,731.92 : 25,841.28 = 12,014.32 : x
  2. Step 2: Convert to fraction form
    18,731.92/25,841.28 = 12,014.32/x
  3. Step 3: Cross multiply
    18,731.92x = 25,841.28 × 12,014.32
  4. Step 4: Simplify right side
    18,731.92x = 310,465,407.13
  5. Step 5: Solve for x
    x = 310,465,407.13/18,731.92
  6. Step 6: Final answer
    x = 16,574.14

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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.