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Finding the Fourth Proportional to 1,856.78, 2,559.92 and 1,542.32

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Solution

The fourth proportional to 1,856.78, 2,559.92 and 1,542.32 is: 2,126.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.78 : 2,559.92 = 1,542.32 : x
  2. Step 2: Convert to fraction form
    1,856.78/2,559.92 = 1,542.32/x
  3. Step 3: Cross multiply
    1,856.78x = 2,559.92 × 1,542.32
  4. Step 4: Simplify right side
    1,856.78x = 3,948,215.81
  5. Step 5: Solve for x
    x = 3,948,215.81/1,856.78
  6. Step 6: Final answer
    x = 2,126.38

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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.