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Finding the Fourth Proportional to 1,262.61, 1,894.05 and 1,096.77

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Solution

The fourth proportional to 1,262.61, 1,894.05 and 1,096.77 is: 1,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.61 : 1,894.05 = 1,096.77 : x
  2. Step 2: Convert to fraction form
    1,262.61/1,894.05 = 1,096.77/x
  3. Step 3: Cross multiply
    1,262.61x = 1,894.05 × 1,096.77
  4. Step 4: Simplify right side
    1,262.61x = 2,077,337.22
  5. Step 5: Solve for x
    x = 2,077,337.22/1,262.61
  6. Step 6: Final answer
    x = 1,645.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.