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Finding the Fourth Proportional to 1,847.40, 2,770.14 and 614.68

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Solution

The fourth proportional to 1,847.40, 2,770.14 and 614.68 is: 921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.40 : 2,770.14 = 614.68 : x
  2. Step 2: Convert to fraction form
    1,847.40/2,770.14 = 614.68/x
  3. Step 3: Cross multiply
    1,847.40x = 2,770.14 × 614.68
  4. Step 4: Simplify right side
    1,847.40x = 1,702,749.66
  5. Step 5: Solve for x
    x = 1,702,749.66/1,847.40
  6. Step 6: Final answer
    x = 921.70

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1.5x scale

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.