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Finding the Fourth Proportional to 2,696.75, 4,038.74 and 1,719.89

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Solution

The fourth proportional to 2,696.75, 4,038.74 and 1,719.89 is: 2,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.75 : 4,038.74 = 1,719.89 : x
  2. Step 2: Convert to fraction form
    2,696.75/4,038.74 = 1,719.89/x
  3. Step 3: Cross multiply
    2,696.75x = 4,038.74 × 1,719.89
  4. Step 4: Simplify right side
    2,696.75x = 6,946,159.75
  5. Step 5: Solve for x
    x = 6,946,159.75/2,696.75
  6. Step 6: Final answer
    x = 2,575.76

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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.