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Finding the Fourth Proportional to 2,715.81, 4,074.15 and 867.42

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Solution

The fourth proportional to 2,715.81, 4,074.15 and 867.42 is: 1,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.81 : 4,074.15 = 867.42 : x
  2. Step 2: Convert to fraction form
    2,715.81/4,074.15 = 867.42/x
  3. Step 3: Cross multiply
    2,715.81x = 4,074.15 × 867.42
  4. Step 4: Simplify right side
    2,715.81x = 3,533,999.19
  5. Step 5: Solve for x
    x = 3,533,999.19/2,715.81
  6. Step 6: Final answer
    x = 1,301.27

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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.