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Finding the Fourth Proportional to 1,242, 1,717.16 and 1,187.60

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Solution

The fourth proportional to 1,242, 1,717.16 and 1,187.60 is: 1,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242 : 1,717.16 = 1,187.60 : x
  2. Step 2: Convert to fraction form
    1,242/1,717.16 = 1,187.60/x
  3. Step 3: Cross multiply
    1,242x = 1,717.16 × 1,187.60
  4. Step 4: Simplify right side
    1,242x = 2,039,299.22
  5. Step 5: Solve for x
    x = 2,039,299.22/1,242
  6. Step 6: Final answer
    x = 1,641.95

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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.