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Finding the Fourth Proportional to 5,645.92, 8,470.80 and 2,908

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Solution

The fourth proportional to 5,645.92, 8,470.80 and 2,908 is: 4,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.92 : 8,470.80 = 2,908 : x
  2. Step 2: Convert to fraction form
    5,645.92/8,470.80 = 2,908/x
  3. Step 3: Cross multiply
    5,645.92x = 8,470.80 × 2,908
  4. Step 4: Simplify right side
    5,645.92x = 24,633,086.40
  5. Step 5: Solve for x
    x = 24,633,086.40/5,645.92
  6. Step 6: Final answer
    x = 4,362.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.