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Finding the Fourth Proportional to 8,358.57, 12,538.44 and 2,812.50

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Solution

The fourth proportional to 8,358.57, 12,538.44 and 2,812.50 is: 4,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.57 : 12,538.44 = 2,812.50 : x
  2. Step 2: Convert to fraction form
    8,358.57/12,538.44 = 2,812.50/x
  3. Step 3: Cross multiply
    8,358.57x = 12,538.44 × 2,812.50
  4. Step 4: Simplify right side
    8,358.57x = 35,264,362.50
  5. Step 5: Solve for x
    x = 35,264,362.50/8,358.57
  6. Step 6: Final answer
    x = 4,218.95

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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.