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Finding the Fourth Proportional to 10,982, 15,155.17 and 6,267.80

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Solution

The fourth proportional to 10,982, 15,155.17 and 6,267.80 is: 8,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982 : 15,155.17 = 6,267.80 : x
  2. Step 2: Convert to fraction form
    10,982/15,155.17 = 6,267.80/x
  3. Step 3: Cross multiply
    10,982x = 15,155.17 × 6,267.80
  4. Step 4: Simplify right side
    10,982x = 94,989,574.53
  5. Step 5: Solve for x
    x = 94,989,574.53/10,982
  6. Step 6: Final answer
    x = 8,649.57

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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.