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Finding the Fourth Proportional to 8,530.72, 12,796.16 and 8,349.28

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Solution

The fourth proportional to 8,530.72, 12,796.16 and 8,349.28 is: 12,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.72 : 12,796.16 = 8,349.28 : x
  2. Step 2: Convert to fraction form
    8,530.72/12,796.16 = 8,349.28/x
  3. Step 3: Cross multiply
    8,530.72x = 12,796.16 × 8,349.28
  4. Step 4: Simplify right side
    8,530.72x = 106,838,722.76
  5. Step 5: Solve for x
    x = 106,838,722.76/8,530.72
  6. Step 6: Final answer
    x = 12,524.00

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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.