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Finding the Fourth Proportional to 5,489.12, 7,559.79 and 4,742.84

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Solution

The fourth proportional to 5,489.12, 7,559.79 and 4,742.84 is: 6,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.12 : 7,559.79 = 4,742.84 : x
  2. Step 2: Convert to fraction form
    5,489.12/7,559.79 = 4,742.84/x
  3. Step 3: Cross multiply
    5,489.12x = 7,559.79 × 4,742.84
  4. Step 4: Simplify right side
    5,489.12x = 35,854,874.40
  5. Step 5: Solve for x
    x = 35,854,874.40/5,489.12
  6. Step 6: Final answer
    x = 6,531.99

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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.