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Finding the Fourth Proportional to 1,447.12, 1,997.02 and 783.96

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Solution

The fourth proportional to 1,447.12, 1,997.02 and 783.96 is: 1,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.12 : 1,997.02 = 783.96 : x
  2. Step 2: Convert to fraction form
    1,447.12/1,997.02 = 783.96/x
  3. Step 3: Cross multiply
    1,447.12x = 1,997.02 × 783.96
  4. Step 4: Simplify right side
    1,447.12x = 1,565,588.52
  5. Step 5: Solve for x
    x = 1,565,588.52/1,447.12
  6. Step 6: Final answer
    x = 1,081.87

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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.