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Finding the Fourth Proportional to 5,959, 8,215.68 and 4,892.80

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Solution

The fourth proportional to 5,959, 8,215.68 and 4,892.80 is: 6,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959 : 8,215.68 = 4,892.80 : x
  2. Step 2: Convert to fraction form
    5,959/8,215.68 = 4,892.80/x
  3. Step 3: Cross multiply
    5,959x = 8,215.68 × 4,892.80
  4. Step 4: Simplify right side
    5,959x = 40,197,679.10
  5. Step 5: Solve for x
    x = 40,197,679.10/5,959
  6. Step 6: Final answer
    x = 6,745.71

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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.