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Finding the Fourth Proportional to 7,404.64, 10,218.64 and 4,047.64

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Solution

The fourth proportional to 7,404.64, 10,218.64 and 4,047.64 is: 5,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.64 : 10,218.64 = 4,047.64 : x
  2. Step 2: Convert to fraction form
    7,404.64/10,218.64 = 4,047.64/x
  3. Step 3: Cross multiply
    7,404.64x = 10,218.64 × 4,047.64
  4. Step 4: Simplify right side
    7,404.64x = 41,361,376.01
  5. Step 5: Solve for x
    x = 41,361,376.01/7,404.64
  6. Step 6: Final answer
    x = 5,585.87

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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.