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Finding the Fourth Proportional to 1,365.12, 1,883.88 and 1,102.68

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Solution

The fourth proportional to 1,365.12, 1,883.88 and 1,102.68 is: 1,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.12 : 1,883.88 = 1,102.68 : x
  2. Step 2: Convert to fraction form
    1,365.12/1,883.88 = 1,102.68/x
  3. Step 3: Cross multiply
    1,365.12x = 1,883.88 × 1,102.68
  4. Step 4: Simplify right side
    1,365.12x = 2,077,316.80
  5. Step 5: Solve for x
    x = 2,077,316.80/1,365.12
  6. Step 6: Final answer
    x = 1,521.71

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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.