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Finding the Fourth Proportional to 6,391.10, 9,573.89 and 5,077.08

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Solution

The fourth proportional to 6,391.10, 9,573.89 and 5,077.08 is: 7,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.10 : 9,573.89 = 5,077.08 : x
  2. Step 2: Convert to fraction form
    6,391.10/9,573.89 = 5,077.08/x
  3. Step 3: Cross multiply
    6,391.10x = 9,573.89 × 5,077.08
  4. Step 4: Simplify right side
    6,391.10x = 48,607,408.61
  5. Step 5: Solve for x
    x = 48,607,408.61/6,391.10
  6. Step 6: Final answer
    x = 7,605.48

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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.