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Finding the Fourth Proportional to 2,385.46, 3,578.74 and 741.92

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Solution

The fourth proportional to 2,385.46, 3,578.74 and 741.92 is: 1,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.46 : 3,578.74 = 741.92 : x
  2. Step 2: Convert to fraction form
    2,385.46/3,578.74 = 741.92/x
  3. Step 3: Cross multiply
    2,385.46x = 3,578.74 × 741.92
  4. Step 4: Simplify right side
    2,385.46x = 2,655,117.18
  5. Step 5: Solve for x
    x = 2,655,117.18/2,385.46
  6. Step 6: Final answer
    x = 1,113.04

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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.