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Finding the Fourth Proportional to 2,696.65, 4,045.65 and 2,143.45

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Solution

The fourth proportional to 2,696.65, 4,045.65 and 2,143.45 is: 3,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.65 : 4,045.65 = 2,143.45 : x
  2. Step 2: Convert to fraction form
    2,696.65/4,045.65 = 2,143.45/x
  3. Step 3: Cross multiply
    2,696.65x = 4,045.65 × 2,143.45
  4. Step 4: Simplify right side
    2,696.65x = 8,671,648.49
  5. Step 5: Solve for x
    x = 8,671,648.49/2,696.65
  6. Step 6: Final answer
    x = 3,215.71

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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.