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Finding the Fourth Proportional to 1,392.55, 2,096.96 and 1,029.89

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Solution

The fourth proportional to 1,392.55, 2,096.96 and 1,029.89 is: 1,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.55 : 2,096.96 = 1,029.89 : x
  2. Step 2: Convert to fraction form
    1,392.55/2,096.96 = 1,029.89/x
  3. Step 3: Cross multiply
    1,392.55x = 2,096.96 × 1,029.89
  4. Step 4: Simplify right side
    1,392.55x = 2,159,638.13
  5. Step 5: Solve for x
    x = 2,159,638.13/1,392.55
  6. Step 6: Final answer
    x = 1,550.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.