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Finding the Fourth Proportional to 7,212.42, 9,948.01 and 4,689.87

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Solution

The fourth proportional to 7,212.42, 9,948.01 and 4,689.87 is: 6,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.42 : 9,948.01 = 4,689.87 : x
  2. Step 2: Convert to fraction form
    7,212.42/9,948.01 = 4,689.87/x
  3. Step 3: Cross multiply
    7,212.42x = 9,948.01 × 4,689.87
  4. Step 4: Simplify right side
    7,212.42x = 46,654,873.66
  5. Step 5: Solve for x
    x = 46,654,873.66/7,212.42
  6. Step 6: Final answer
    x = 6,468.69

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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.