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Finding the Fourth Proportional to 7,196, 10,806 and 6,657.20

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Solution

The fourth proportional to 7,196, 10,806 and 6,657.20 is: 9,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196 : 10,806 = 6,657.20 : x
  2. Step 2: Convert to fraction form
    7,196/10,806 = 6,657.20/x
  3. Step 3: Cross multiply
    7,196x = 10,806 × 6,657.20
  4. Step 4: Simplify right side
    7,196x = 71,937,703.20
  5. Step 5: Solve for x
    x = 71,937,703.20/7,196
  6. Step 6: Final answer
    x = 9,996.90

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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.