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Finding the Fourth Proportional to 7,802.80, 11,704.20 and 7,146.70

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Solution

The fourth proportional to 7,802.80, 11,704.20 and 7,146.70 is: 10,720.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.80 : 11,704.20 = 7,146.70 : x
  2. Step 2: Convert to fraction form
    7,802.80/11,704.20 = 7,146.70/x
  3. Step 3: Cross multiply
    7,802.80x = 11,704.20 × 7,146.70
  4. Step 4: Simplify right side
    7,802.80x = 83,646,406.14
  5. Step 5: Solve for x
    x = 83,646,406.14/7,802.80
  6. Step 6: Final answer
    x = 10,720.05

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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.