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Finding the Fourth Proportional to 2,187.29, 3,280.33 and 954.42

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Solution

The fourth proportional to 2,187.29, 3,280.33 and 954.42 is: 1,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.29 : 3,280.33 = 954.42 : x
  2. Step 2: Convert to fraction form
    2,187.29/3,280.33 = 954.42/x
  3. Step 3: Cross multiply
    2,187.29x = 3,280.33 × 954.42
  4. Step 4: Simplify right side
    2,187.29x = 3,130,812.56
  5. Step 5: Solve for x
    x = 3,130,812.56/2,187.29
  6. Step 6: Final answer
    x = 1,431.37

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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.