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Finding the Fourth Proportional to 7,132.40, 10,698.40 and 3,236.80

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Solution

The fourth proportional to 7,132.40, 10,698.40 and 3,236.80 is: 4,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.40 : 10,698.40 = 3,236.80 : x
  2. Step 2: Convert to fraction form
    7,132.40/10,698.40 = 3,236.80/x
  3. Step 3: Cross multiply
    7,132.40x = 10,698.40 × 3,236.80
  4. Step 4: Simplify right side
    7,132.40x = 34,628,581.12
  5. Step 5: Solve for x
    x = 34,628,581.12/7,132.40
  6. Step 6: Final answer
    x = 4,855.11

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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.