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Finding the Fourth Proportional to 8,657.51, 12,989.70 and 2,814.17

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Solution

The fourth proportional to 8,657.51, 12,989.70 and 2,814.17 is: 4,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.51 : 12,989.70 = 2,814.17 : x
  2. Step 2: Convert to fraction form
    8,657.51/12,989.70 = 2,814.17/x
  3. Step 3: Cross multiply
    8,657.51x = 12,989.70 × 2,814.17
  4. Step 4: Simplify right side
    8,657.51x = 36,555,159.10
  5. Step 5: Solve for x
    x = 36,555,159.10/8,657.51
  6. Step 6: Final answer
    x = 4,222.37

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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.