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Finding the Fourth Proportional to 6,473.40, 8,929.98 and 4,207.92

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Solution

The fourth proportional to 6,473.40, 8,929.98 and 4,207.92 is: 5,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.40 : 8,929.98 = 4,207.92 : x
  2. Step 2: Convert to fraction form
    6,473.40/8,929.98 = 4,207.92/x
  3. Step 3: Cross multiply
    6,473.40x = 8,929.98 × 4,207.92
  4. Step 4: Simplify right side
    6,473.40x = 37,576,641.44
  5. Step 5: Solve for x
    x = 37,576,641.44/6,473.40
  6. Step 6: Final answer
    x = 5,804.78

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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.