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Finding the Fourth Proportional to 7,217, 10,769.65 and 6,439.40

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Solution

The fourth proportional to 7,217, 10,769.65 and 6,439.40 is: 9,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217 : 10,769.65 = 6,439.40 : x
  2. Step 2: Convert to fraction form
    7,217/10,769.65 = 6,439.40/x
  3. Step 3: Cross multiply
    7,217x = 10,769.65 × 6,439.40
  4. Step 4: Simplify right side
    7,217x = 69,350,084.21
  5. Step 5: Solve for x
    x = 69,350,084.21/7,217
  6. Step 6: Final answer
    x = 9,609.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.