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Finding the Fourth Proportional to 1,265.92, 1,749.92 and 1,214.24

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Solution

The fourth proportional to 1,265.92, 1,749.92 and 1,214.24 is: 1,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.92 : 1,749.92 = 1,214.24 : x
  2. Step 2: Convert to fraction form
    1,265.92/1,749.92 = 1,214.24/x
  3. Step 3: Cross multiply
    1,265.92x = 1,749.92 × 1,214.24
  4. Step 4: Simplify right side
    1,265.92x = 2,124,822.86
  5. Step 5: Solve for x
    x = 2,124,822.86/1,265.92
  6. Step 6: Final answer
    x = 1,678.48

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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.