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Finding the Fourth Proportional to 10,643.80, 15,981.90 and 8,181.40

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Solution

The fourth proportional to 10,643.80, 15,981.90 and 8,181.40 is: 12,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.80 : 15,981.90 = 8,181.40 : x
  2. Step 2: Convert to fraction form
    10,643.80/15,981.90 = 8,181.40/x
  3. Step 3: Cross multiply
    10,643.80x = 15,981.90 × 8,181.40
  4. Step 4: Simplify right side
    10,643.80x = 130,754,316.66
  5. Step 5: Solve for x
    x = 130,754,316.66/10,643.80
  6. Step 6: Final answer
    x = 12,284.55

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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.