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Finding the Fourth Proportional to 2,385.88, 3,579.26 and 742.32

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Solution

The fourth proportional to 2,385.88, 3,579.26 and 742.32 is: 1,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.88 : 3,579.26 = 742.32 : x
  2. Step 2: Convert to fraction form
    2,385.88/3,579.26 = 742.32/x
  3. Step 3: Cross multiply
    2,385.88x = 3,579.26 × 742.32
  4. Step 4: Simplify right side
    2,385.88x = 2,656,956.28
  5. Step 5: Solve for x
    x = 2,656,956.28/2,385.88
  6. Step 6: Final answer
    x = 1,113.62

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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.