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Finding the Fourth Proportional to 8,656.98, 12,986.83 and 2,812.22

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Solution

The fourth proportional to 8,656.98, 12,986.83 and 2,812.22 is: 4,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.98 : 12,986.83 = 2,812.22 : x
  2. Step 2: Convert to fraction form
    8,656.98/12,986.83 = 2,812.22/x
  3. Step 3: Cross multiply
    8,656.98x = 12,986.83 × 2,812.22
  4. Step 4: Simplify right side
    8,656.98x = 36,521,810.34
  5. Step 5: Solve for x
    x = 36,521,810.34/8,656.98
  6. Step 6: Final answer
    x = 4,218.77

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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.