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Finding the Fourth Proportional to 5,940, 8,909.93 and 5,579.15

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Solution

The fourth proportional to 5,940, 8,909.93 and 5,579.15 is: 8,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940 : 8,909.93 = 5,579.15 : x
  2. Step 2: Convert to fraction form
    5,940/8,909.93 = 5,579.15/x
  3. Step 3: Cross multiply
    5,940x = 8,909.93 × 5,579.15
  4. Step 4: Simplify right side
    5,940x = 49,709,805.36
  5. Step 5: Solve for x
    x = 49,709,805.36/5,940
  6. Step 6: Final answer
    x = 8,368.65

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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.