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Finding the Fourth Proportional to 10,643.76, 14,691.80 and 6,867.03

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Solution

The fourth proportional to 10,643.76, 14,691.80 and 6,867.03 is: 9,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.76 : 14,691.80 = 6,867.03 : x
  2. Step 2: Convert to fraction form
    10,643.76/14,691.80 = 6,867.03/x
  3. Step 3: Cross multiply
    10,643.76x = 14,691.80 × 6,867.03
  4. Step 4: Simplify right side
    10,643.76x = 100,888,997.02
  5. Step 5: Solve for x
    x = 100,888,997.02/10,643.76
  6. Step 6: Final answer
    x = 9,478.70

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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.