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Finding the Fourth Proportional to 2,254.68, 3,378.98 and 866.74

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Solution

The fourth proportional to 2,254.68, 3,378.98 and 866.74 is: 1,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.68 : 3,378.98 = 866.74 : x
  2. Step 2: Convert to fraction form
    2,254.68/3,378.98 = 866.74/x
  3. Step 3: Cross multiply
    2,254.68x = 3,378.98 × 866.74
  4. Step 4: Simplify right side
    2,254.68x = 2,928,692.79
  5. Step 5: Solve for x
    x = 2,928,692.79/2,254.68
  6. Step 6: Final answer
    x = 1,298.94

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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.