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Finding the Fourth Proportional to 2,500.32, 3,749.03 and 856.43

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Solution

The fourth proportional to 2,500.32, 3,749.03 and 856.43 is: 1,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.32 : 3,749.03 = 856.43 : x
  2. Step 2: Convert to fraction form
    2,500.32/3,749.03 = 856.43/x
  3. Step 3: Cross multiply
    2,500.32x = 3,749.03 × 856.43
  4. Step 4: Simplify right side
    2,500.32x = 3,210,781.76
  5. Step 5: Solve for x
    x = 3,210,781.76/2,500.32
  6. Step 6: Final answer
    x = 1,284.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.