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Finding the Fourth Proportional to 6,470.81, 8,929.45 and 3,638.42

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Solution

The fourth proportional to 6,470.81, 8,929.45 and 3,638.42 is: 5,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.81 : 8,929.45 = 3,638.42 : x
  2. Step 2: Convert to fraction form
    6,470.81/8,929.45 = 3,638.42/x
  3. Step 3: Cross multiply
    6,470.81x = 8,929.45 × 3,638.42
  4. Step 4: Simplify right side
    6,470.81x = 32,489,089.47
  5. Step 5: Solve for x
    x = 32,489,089.47/6,470.81
  6. Step 6: Final answer
    x = 5,020.87

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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.