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Finding the Fourth Proportional to 11,536, 17,306.16 and 5,380

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Solution

The fourth proportional to 11,536, 17,306.16 and 5,380 is: 8,071.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536 : 17,306.16 = 5,380 : x
  2. Step 2: Convert to fraction form
    11,536/17,306.16 = 5,380/x
  3. Step 3: Cross multiply
    11,536x = 17,306.16 × 5,380
  4. Step 4: Simplify right side
    11,536x = 93,107,140.80
  5. Step 5: Solve for x
    x = 93,107,140.80/11,536
  6. Step 6: Final answer
    x = 8,071.01

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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.