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Finding the Fourth Proportional to 5,000.85, 6,885 and 4,115.07

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Solution

The fourth proportional to 5,000.85, 6,885 and 4,115.07 is: 5,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.85 : 6,885 = 4,115.07 : x
  2. Step 2: Convert to fraction form
    5,000.85/6,885 = 4,115.07/x
  3. Step 3: Cross multiply
    5,000.85x = 6,885 × 4,115.07
  4. Step 4: Simplify right side
    5,000.85x = 28,332,256.95
  5. Step 5: Solve for x
    x = 28,332,256.95/5,000.85
  6. Step 6: Final answer
    x = 5,665.49

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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.