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Finding the Fourth Proportional to 1,446.86, 1,995.91 and 1,115.17

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Solution

The fourth proportional to 1,446.86, 1,995.91 and 1,115.17 is: 1,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.86 : 1,995.91 = 1,115.17 : x
  2. Step 2: Convert to fraction form
    1,446.86/1,995.91 = 1,115.17/x
  3. Step 3: Cross multiply
    1,446.86x = 1,995.91 × 1,115.17
  4. Step 4: Simplify right side
    1,446.86x = 2,225,771.18
  5. Step 5: Solve for x
    x = 2,225,771.18/1,446.86
  6. Step 6: Final answer
    x = 1,538.34

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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.