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Finding the Fourth Proportional to 3,068.24, 4,602.42 and 759.76

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Solution

The fourth proportional to 3,068.24, 4,602.42 and 759.76 is: 1,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.24 : 4,602.42 = 759.76 : x
  2. Step 2: Convert to fraction form
    3,068.24/4,602.42 = 759.76/x
  3. Step 3: Cross multiply
    3,068.24x = 4,602.42 × 759.76
  4. Step 4: Simplify right side
    3,068.24x = 3,496,734.62
  5. Step 5: Solve for x
    x = 3,496,734.62/3,068.24
  6. Step 6: Final answer
    x = 1,139.65

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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.