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Finding the Fourth Proportional to 7,237.60, 9,987.52 and 4,876

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Solution

The fourth proportional to 7,237.60, 9,987.52 and 4,876 is: 6,728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.60 : 9,987.52 = 4,876 : x
  2. Step 2: Convert to fraction form
    7,237.60/9,987.52 = 4,876/x
  3. Step 3: Cross multiply
    7,237.60x = 9,987.52 × 4,876
  4. Step 4: Simplify right side
    7,237.60x = 48,699,147.52
  5. Step 5: Solve for x
    x = 48,699,147.52/7,237.60
  6. Step 6: Final answer
    x = 6,728.63

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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.