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Finding the Fourth Proportional to 6,205.18, 9,305.95 and 6,142.31

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Solution

The fourth proportional to 6,205.18, 9,305.95 and 6,142.31 is: 9,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.18 : 9,305.95 = 6,142.31 : x
  2. Step 2: Convert to fraction form
    6,205.18/9,305.95 = 6,142.31/x
  3. Step 3: Cross multiply
    6,205.18x = 9,305.95 × 6,142.31
  4. Step 4: Simplify right side
    6,205.18x = 57,160,029.74
  5. Step 5: Solve for x
    x = 57,160,029.74/6,205.18
  6. Step 6: Final answer
    x = 9,211.66

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1.5x scale

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.