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Finding the Fourth Proportional to 7,535.55, 11,304 and 1,988.82

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Solution

The fourth proportional to 7,535.55, 11,304 and 1,988.82 is: 2,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.55 : 11,304 = 1,988.82 : x
  2. Step 2: Convert to fraction form
    7,535.55/11,304 = 1,988.82/x
  3. Step 3: Cross multiply
    7,535.55x = 11,304 × 1,988.82
  4. Step 4: Simplify right side
    7,535.55x = 22,481,621.28
  5. Step 5: Solve for x
    x = 22,481,621.28/7,535.55
  6. Step 6: Final answer
    x = 2,983.41

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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.