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Finding the Fourth Proportional to 5,605, 8,400.42 and 4,909.96

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Solution

The fourth proportional to 5,605, 8,400.42 and 4,909.96 is: 7,358.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605 : 8,400.42 = 4,909.96 : x
  2. Step 2: Convert to fraction form
    5,605/8,400.42 = 4,909.96/x
  3. Step 3: Cross multiply
    5,605x = 8,400.42 × 4,909.96
  4. Step 4: Simplify right side
    5,605x = 41,245,726.18
  5. Step 5: Solve for x
    x = 41,245,726.18/5,605
  6. Step 6: Final answer
    x = 7,358.74

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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.