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Finding the Fourth Proportional to 2,599.28, 3,898.11 and 867.50

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Solution

The fourth proportional to 2,599.28, 3,898.11 and 867.50 is: 1,300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.28 : 3,898.11 = 867.50 : x
  2. Step 2: Convert to fraction form
    2,599.28/3,898.11 = 867.50/x
  3. Step 3: Cross multiply
    2,599.28x = 3,898.11 × 867.50
  4. Step 4: Simplify right side
    2,599.28x = 3,381,610.43
  5. Step 5: Solve for x
    x = 3,381,610.43/2,599.28
  6. Step 6: Final answer
    x = 1,300.98

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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.