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Finding the Fourth Proportional to 1,287.02, 1,777.11 and 1,188.74

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Solution

The fourth proportional to 1,287.02, 1,777.11 and 1,188.74 is: 1,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.02 : 1,777.11 = 1,188.74 : x
  2. Step 2: Convert to fraction form
    1,287.02/1,777.11 = 1,188.74/x
  3. Step 3: Cross multiply
    1,287.02x = 1,777.11 × 1,188.74
  4. Step 4: Simplify right side
    1,287.02x = 2,112,521.74
  5. Step 5: Solve for x
    x = 2,112,521.74/1,287.02
  6. Step 6: Final answer
    x = 1,641.41

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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.