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Finding the Fourth Proportional to 2,385.74, 3,579.06 and 742.22

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Solution

The fourth proportional to 2,385.74, 3,579.06 and 742.22 is: 1,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.74 : 3,579.06 = 742.22 : x
  2. Step 2: Convert to fraction form
    2,385.74/3,579.06 = 742.22/x
  3. Step 3: Cross multiply
    2,385.74x = 3,579.06 × 742.22
  4. Step 4: Simplify right side
    2,385.74x = 2,656,458.86
  5. Step 5: Solve for x
    x = 2,656,458.86/2,385.74
  6. Step 6: Final answer
    x = 1,113.48

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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.