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Finding the Fourth Proportional to 10,615.40, 15,919.04 and 3,217.40

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Solution

The fourth proportional to 10,615.40, 15,919.04 and 3,217.40 is: 4,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.40 : 15,919.04 = 3,217.40 : x
  2. Step 2: Convert to fraction form
    10,615.40/15,919.04 = 3,217.40/x
  3. Step 3: Cross multiply
    10,615.40x = 15,919.04 × 3,217.40
  4. Step 4: Simplify right side
    10,615.40x = 51,217,919.30
  5. Step 5: Solve for x
    x = 51,217,919.30/10,615.40
  6. Step 6: Final answer
    x = 4,824.87

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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.