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Finding the Fourth Proportional to 2,106.34, 3,159.49 and 719.66

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Solution

The fourth proportional to 2,106.34, 3,159.49 and 719.66 is: 1,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.34 : 3,159.49 = 719.66 : x
  2. Step 2: Convert to fraction form
    2,106.34/3,159.49 = 719.66/x
  3. Step 3: Cross multiply
    2,106.34x = 3,159.49 × 719.66
  4. Step 4: Simplify right side
    2,106.34x = 2,273,758.57
  5. Step 5: Solve for x
    x = 2,273,758.57/2,106.34
  6. Step 6: Final answer
    x = 1,079.48

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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.