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Finding the Fourth Proportional to 6,877.50, 9,493.11 and 4,393.50

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Solution

The fourth proportional to 6,877.50, 9,493.11 and 4,393.50 is: 6,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.50 : 9,493.11 = 4,393.50 : x
  2. Step 2: Convert to fraction form
    6,877.50/9,493.11 = 4,393.50/x
  3. Step 3: Cross multiply
    6,877.50x = 9,493.11 × 4,393.50
  4. Step 4: Simplify right side
    6,877.50x = 41,707,978.79
  5. Step 5: Solve for x
    x = 41,707,978.79/6,877.50
  6. Step 6: Final answer
    x = 6,064.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.