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Finding the Fourth Proportional to 2,574.68, 3,549.12 and 1,578.11

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Solution

The fourth proportional to 2,574.68, 3,549.12 and 1,578.11 is: 2,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.68 : 3,549.12 = 1,578.11 : x
  2. Step 2: Convert to fraction form
    2,574.68/3,549.12 = 1,578.11/x
  3. Step 3: Cross multiply
    2,574.68x = 3,549.12 × 1,578.11
  4. Step 4: Simplify right side
    2,574.68x = 5,600,901.76
  5. Step 5: Solve for x
    x = 5,600,901.76/2,574.68
  6. Step 6: Final answer
    x = 2,175.38

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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.