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Finding the Fourth Proportional to 6,391.98, 9,575.15 and 5,077.89

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Solution

The fourth proportional to 6,391.98, 9,575.15 and 5,077.89 is: 7,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.98 : 9,575.15 = 5,077.89 : x
  2. Step 2: Convert to fraction form
    6,391.98/9,575.15 = 5,077.89/x
  3. Step 3: Cross multiply
    6,391.98x = 9,575.15 × 5,077.89
  4. Step 4: Simplify right side
    6,391.98x = 48,621,533.04
  5. Step 5: Solve for x
    x = 48,621,533.04/6,391.98
  6. Step 6: Final answer
    x = 7,606.65

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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.