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Finding the Fourth Proportional to 9,775, 13,489.50 and 5,359

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Solution

The fourth proportional to 9,775, 13,489.50 and 5,359 is: 7,395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775 : 13,489.50 = 5,359 : x
  2. Step 2: Convert to fraction form
    9,775/13,489.50 = 5,359/x
  3. Step 3: Cross multiply
    9,775x = 13,489.50 × 5,359
  4. Step 4: Simplify right side
    9,775x = 72,290,230.50
  5. Step 5: Solve for x
    x = 72,290,230.50/9,775
  6. Step 6: Final answer
    x = 7,395.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.