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Finding the Fourth Proportional to 2,407.74, 3,609.42 and 947.76

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Solution

The fourth proportional to 2,407.74, 3,609.42 and 947.76 is: 1,420.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.74 : 3,609.42 = 947.76 : x
  2. Step 2: Convert to fraction form
    2,407.74/3,609.42 = 947.76/x
  3. Step 3: Cross multiply
    2,407.74x = 3,609.42 × 947.76
  4. Step 4: Simplify right side
    2,407.74x = 3,420,863.90
  5. Step 5: Solve for x
    x = 3,420,863.90/2,407.74
  6. Step 6: Final answer
    x = 1,420.78

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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.