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Finding the Fourth Proportional to 13,217.67, 19,817.65 and 6,971.08

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Solution

The fourth proportional to 13,217.67, 19,817.65 and 6,971.08 is: 10,451.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217.67 : 19,817.65 = 6,971.08 : x
  2. Step 2: Convert to fraction form
    13,217.67/19,817.65 = 6,971.08/x
  3. Step 3: Cross multiply
    13,217.67x = 19,817.65 × 6,971.08
  4. Step 4: Simplify right side
    13,217.67x = 138,150,423.56
  5. Step 5: Solve for x
    x = 138,150,423.56/13,217.67
  6. Step 6: Final answer
    x = 10,451.95

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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.