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Finding the Fourth Proportional to 10,656, 14,714.28 and 6,683.76

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Solution

The fourth proportional to 10,656, 14,714.28 and 6,683.76 is: 9,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656 : 14,714.28 = 6,683.76 : x
  2. Step 2: Convert to fraction form
    10,656/14,714.28 = 6,683.76/x
  3. Step 3: Cross multiply
    10,656x = 14,714.28 × 6,683.76
  4. Step 4: Simplify right side
    10,656x = 98,346,716.09
  5. Step 5: Solve for x
    x = 98,346,716.09/10,656
  6. Step 6: Final answer
    x = 9,229.23

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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.