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Finding the Fourth Proportional to 7,284.80, 10,922.80 and 2,897.20

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Solution

The fourth proportional to 7,284.80, 10,922.80 and 2,897.20 is: 4,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.80 : 10,922.80 = 2,897.20 : x
  2. Step 2: Convert to fraction form
    7,284.80/10,922.80 = 2,897.20/x
  3. Step 3: Cross multiply
    7,284.80x = 10,922.80 × 2,897.20
  4. Step 4: Simplify right side
    7,284.80x = 31,645,536.16
  5. Step 5: Solve for x
    x = 31,645,536.16/7,284.80
  6. Step 6: Final answer
    x = 4,344.05

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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.