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Finding the Fourth Proportional to 1,368.62, 1,888 and 1,182.07

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Solution

The fourth proportional to 1,368.62, 1,888 and 1,182.07 is: 1,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.62 : 1,888 = 1,182.07 : x
  2. Step 2: Convert to fraction form
    1,368.62/1,888 = 1,182.07/x
  3. Step 3: Cross multiply
    1,368.62x = 1,888 × 1,182.07
  4. Step 4: Simplify right side
    1,368.62x = 2,231,738.72
  5. Step 5: Solve for x
    x = 2,231,738.72/1,368.62
  6. Step 6: Final answer
    x = 1,630.65

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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.