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Finding the Fourth Proportional to 1,856.24, 2,561.16 and 1,028.24

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Solution

The fourth proportional to 1,856.24, 2,561.16 and 1,028.24 is: 1,418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.24 : 2,561.16 = 1,028.24 : x
  2. Step 2: Convert to fraction form
    1,856.24/2,561.16 = 1,028.24/x
  3. Step 3: Cross multiply
    1,856.24x = 2,561.16 × 1,028.24
  4. Step 4: Simplify right side
    1,856.24x = 2,633,487.16
  5. Step 5: Solve for x
    x = 2,633,487.16/1,856.24
  6. Step 6: Final answer
    x = 1,418.72

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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.