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Finding the Fourth Proportional to 7,714.29, 10,645.71 and 4,177.49

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Solution

The fourth proportional to 7,714.29, 10,645.71 and 4,177.49 is: 5,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.29 : 10,645.71 = 4,177.49 : x
  2. Step 2: Convert to fraction form
    7,714.29/10,645.71 = 4,177.49/x
  3. Step 3: Cross multiply
    7,714.29x = 10,645.71 × 4,177.49
  4. Step 4: Simplify right side
    7,714.29x = 44,472,326.18
  5. Step 5: Solve for x
    x = 44,472,326.18/7,714.29
  6. Step 6: Final answer
    x = 5,764.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.