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Finding the Fourth Proportional to 2,407.75, 3,609.60 and 947.95

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Solution

The fourth proportional to 2,407.75, 3,609.60 and 947.95 is: 1,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.75 : 3,609.60 = 947.95 : x
  2. Step 2: Convert to fraction form
    2,407.75/3,609.60 = 947.95/x
  3. Step 3: Cross multiply
    2,407.75x = 3,609.60 × 947.95
  4. Step 4: Simplify right side
    2,407.75x = 3,421,720.32
  5. Step 5: Solve for x
    x = 3,421,720.32/2,407.75
  6. Step 6: Final answer
    x = 1,421.13

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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.