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Finding the Fourth Proportional to 2,407.14, 3,604.20 and 1,250.46

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Solution

The fourth proportional to 2,407.14, 3,604.20 and 1,250.46 is: 1,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.14 : 3,604.20 = 1,250.46 : x
  2. Step 2: Convert to fraction form
    2,407.14/3,604.20 = 1,250.46/x
  3. Step 3: Cross multiply
    2,407.14x = 3,604.20 × 1,250.46
  4. Step 4: Simplify right side
    2,407.14x = 4,506,916.76
  5. Step 5: Solve for x
    x = 4,506,916.76/2,407.14
  6. Step 6: Final answer
    x = 1,872.31

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