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Finding the Fourth Proportional to 8,657.79, 12,984.21 and 3,110.10

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Solution

The fourth proportional to 8,657.79, 12,984.21 and 3,110.10 is: 4,664.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.79 : 12,984.21 = 3,110.10 : x
  2. Step 2: Convert to fraction form
    8,657.79/12,984.21 = 3,110.10/x
  3. Step 3: Cross multiply
    8,657.79x = 12,984.21 × 3,110.10
  4. Step 4: Simplify right side
    8,657.79x = 40,382,191.52
  5. Step 5: Solve for x
    x = 40,382,191.52/8,657.79
  6. Step 6: Final answer
    x = 4,664.26

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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.