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Finding the Fourth Proportional to 7,397.74, 11,080.16 and 6,821.53

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Solution

The fourth proportional to 7,397.74, 11,080.16 and 6,821.53 is: 10,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.74 : 11,080.16 = 6,821.53 : x
  2. Step 2: Convert to fraction form
    7,397.74/11,080.16 = 6,821.53/x
  3. Step 3: Cross multiply
    7,397.74x = 11,080.16 × 6,821.53
  4. Step 4: Simplify right side
    7,397.74x = 75,583,607.62
  5. Step 5: Solve for x
    x = 75,583,607.62/7,397.74
  6. Step 6: Final answer
    x = 10,217.12

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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.