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Finding the Fourth Proportional to 8,610.68, 12,905.19 and 4,661.78

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Solution

The fourth proportional to 8,610.68, 12,905.19 and 4,661.78 is: 6,986.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610.68 : 12,905.19 = 4,661.78 : x
  2. Step 2: Convert to fraction form
    8,610.68/12,905.19 = 4,661.78/x
  3. Step 3: Cross multiply
    8,610.68x = 12,905.19 × 4,661.78
  4. Step 4: Simplify right side
    8,610.68x = 60,161,156.64
  5. Step 5: Solve for x
    x = 60,161,156.64/8,610.68
  6. Step 6: Final answer
    x = 6,986.81

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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.