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Finding the Fourth Proportional to 5,657.16, 7,789.50 and 4,909.80

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Solution

The fourth proportional to 5,657.16, 7,789.50 and 4,909.80 is: 6,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.16 : 7,789.50 = 4,909.80 : x
  2. Step 2: Convert to fraction form
    5,657.16/7,789.50 = 4,909.80/x
  3. Step 3: Cross multiply
    5,657.16x = 7,789.50 × 4,909.80
  4. Step 4: Simplify right side
    5,657.16x = 38,244,887.10
  5. Step 5: Solve for x
    x = 38,244,887.10/5,657.16
  6. Step 6: Final answer
    x = 6,760.44

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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.