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Finding the Fourth Proportional to 6,536, 9,005.28 and 6,363.20

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Solution

The fourth proportional to 6,536, 9,005.28 and 6,363.20 is: 8,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536 : 9,005.28 = 6,363.20 : x
  2. Step 2: Convert to fraction form
    6,536/9,005.28 = 6,363.20/x
  3. Step 3: Cross multiply
    6,536x = 9,005.28 × 6,363.20
  4. Step 4: Simplify right side
    6,536x = 57,302,397.70
  5. Step 5: Solve for x
    x = 57,302,397.70/6,536
  6. Step 6: Final answer
    x = 8,767.20

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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.