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Finding the Fourth Proportional to 1,224.63, 1,690.16 and 1,186.38

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Solution

The fourth proportional to 1,224.63, 1,690.16 and 1,186.38 is: 1,637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.63 : 1,690.16 = 1,186.38 : x
  2. Step 2: Convert to fraction form
    1,224.63/1,690.16 = 1,186.38/x
  3. Step 3: Cross multiply
    1,224.63x = 1,690.16 × 1,186.38
  4. Step 4: Simplify right side
    1,224.63x = 2,005,166.09
  5. Step 5: Solve for x
    x = 2,005,166.09/1,224.63
  6. Step 6: Final answer
    x = 1,637.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.