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Finding the Fourth Proportional to 2,715.94, 4,074 and 867.25

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Solution

The fourth proportional to 2,715.94, 4,074 and 867.25 is: 1,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.94 : 4,074 = 867.25 : x
  2. Step 2: Convert to fraction form
    2,715.94/4,074 = 867.25/x
  3. Step 3: Cross multiply
    2,715.94x = 4,074 × 867.25
  4. Step 4: Simplify right side
    2,715.94x = 3,533,176.50
  5. Step 5: Solve for x
    x = 3,533,176.50/2,715.94
  6. Step 6: Final answer
    x = 1,300.90

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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.