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Finding the Fourth Proportional to 1,508.78, 2,074.74 and 1,462.70

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Solution

The fourth proportional to 1,508.78, 2,074.74 and 1,462.70 is: 2,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.78 : 2,074.74 = 1,462.70 : x
  2. Step 2: Convert to fraction form
    1,508.78/2,074.74 = 1,462.70/x
  3. Step 3: Cross multiply
    1,508.78x = 2,074.74 × 1,462.70
  4. Step 4: Simplify right side
    1,508.78x = 3,034,722.20
  5. Step 5: Solve for x
    x = 3,034,722.20/1,508.78
  6. Step 6: Final answer
    x = 2,011.37

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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.