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Finding the Fourth Proportional to 8,505.51, 12,749.48 and 6,159.61

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Solution

The fourth proportional to 8,505.51, 12,749.48 and 6,159.61 is: 9,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.51 : 12,749.48 = 6,159.61 : x
  2. Step 2: Convert to fraction form
    8,505.51/12,749.48 = 6,159.61/x
  3. Step 3: Cross multiply
    8,505.51x = 12,749.48 × 6,159.61
  4. Step 4: Simplify right side
    8,505.51x = 78,531,824.50
  5. Step 5: Solve for x
    x = 78,531,824.50/8,505.51
  6. Step 6: Final answer
    x = 9,233.05

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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.