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Finding the Fourth Proportional to 5,272.86, 7,902 and 4,488.78

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Solution

The fourth proportional to 5,272.86, 7,902 and 4,488.78 is: 6,726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.86 : 7,902 = 4,488.78 : x
  2. Step 2: Convert to fraction form
    5,272.86/7,902 = 4,488.78/x
  3. Step 3: Cross multiply
    5,272.86x = 7,902 × 4,488.78
  4. Step 4: Simplify right side
    5,272.86x = 35,470,339.56
  5. Step 5: Solve for x
    x = 35,470,339.56/5,272.86
  6. Step 6: Final answer
    x = 6,726.96

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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.