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Finding the Fourth Proportional to 2,696.88, 3,719.88 and 1,647.12

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Solution

The fourth proportional to 2,696.88, 3,719.88 and 1,647.12 is: 2,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.88 : 3,719.88 = 1,647.12 : x
  2. Step 2: Convert to fraction form
    2,696.88/3,719.88 = 1,647.12/x
  3. Step 3: Cross multiply
    2,696.88x = 3,719.88 × 1,647.12
  4. Step 4: Simplify right side
    2,696.88x = 6,127,088.75
  5. Step 5: Solve for x
    x = 6,127,088.75/2,696.88
  6. Step 6: Final answer
    x = 2,271.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.