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Finding the Fourth Proportional to 8,959, 13,438.68 and 2,803

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Solution

The fourth proportional to 8,959, 13,438.68 and 2,803 is: 4,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959 : 13,438.68 = 2,803 : x
  2. Step 2: Convert to fraction form
    8,959/13,438.68 = 2,803/x
  3. Step 3: Cross multiply
    8,959x = 13,438.68 × 2,803
  4. Step 4: Simplify right side
    8,959x = 37,668,620.04
  5. Step 5: Solve for x
    x = 37,668,620.04/8,959
  6. Step 6: Final answer
    x = 4,204.56

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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.