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Finding the Fourth Proportional to 2,590.44, 3,574.44 and 1,542.12

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Solution

The fourth proportional to 2,590.44, 3,574.44 and 1,542.12 is: 2,127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.44 : 3,574.44 = 1,542.12 : x
  2. Step 2: Convert to fraction form
    2,590.44/3,574.44 = 1,542.12/x
  3. Step 3: Cross multiply
    2,590.44x = 3,574.44 × 1,542.12
  4. Step 4: Simplify right side
    2,590.44x = 5,512,215.41
  5. Step 5: Solve for x
    x = 5,512,215.41/2,590.44
  6. Step 6: Final answer
    x = 2,127.91

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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.