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Finding the Fourth Proportional to 6,814.63, 10,223.13 and 2,656.90

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Solution

The fourth proportional to 6,814.63, 10,223.13 and 2,656.90 is: 3,985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.63 : 10,223.13 = 2,656.90 : x
  2. Step 2: Convert to fraction form
    6,814.63/10,223.13 = 2,656.90/x
  3. Step 3: Cross multiply
    6,814.63x = 10,223.13 × 2,656.90
  4. Step 4: Simplify right side
    6,814.63x = 27,161,834.10
  5. Step 5: Solve for x
    x = 27,161,834.10/6,814.63
  6. Step 6: Final answer
    x = 3,985.81

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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.