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Finding the Fourth Proportional to 8,657.60, 12,978.18 and 2,810.12

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Solution

The fourth proportional to 8,657.60, 12,978.18 and 2,810.12 is: 4,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.60 : 12,978.18 = 2,810.12 : x
  2. Step 2: Convert to fraction form
    8,657.60/12,978.18 = 2,810.12/x
  3. Step 3: Cross multiply
    8,657.60x = 12,978.18 × 2,810.12
  4. Step 4: Simplify right side
    8,657.60x = 36,470,243.18
  5. Step 5: Solve for x
    x = 36,470,243.18/8,657.60
  6. Step 6: Final answer
    x = 4,212.51

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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.