Home / 1,213.16-1,814.94-1,165.16

Finding the Fourth Proportional to 1,213.16, 1,814.94 and 1,165.16

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Solution

The fourth proportional to 1,213.16, 1,814.94 and 1,165.16 is: 1,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.16 : 1,814.94 = 1,165.16 : x
  2. Step 2: Convert to fraction form
    1,213.16/1,814.94 = 1,165.16/x
  3. Step 3: Cross multiply
    1,213.16x = 1,814.94 × 1,165.16
  4. Step 4: Simplify right side
    1,213.16x = 2,114,695.49
  5. Step 5: Solve for x
    x = 2,114,695.49/1,213.16
  6. Step 6: Final answer
    x = 1,743.13

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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.