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Finding the Fourth Proportional to 2,712.83, 4,069.24 and 1,679.40

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Solution

The fourth proportional to 2,712.83, 4,069.24 and 1,679.40 is: 2,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.83 : 4,069.24 = 1,679.40 : x
  2. Step 2: Convert to fraction form
    2,712.83/4,069.24 = 1,679.40/x
  3. Step 3: Cross multiply
    2,712.83x = 4,069.24 × 1,679.40
  4. Step 4: Simplify right side
    2,712.83x = 6,833,877.46
  5. Step 5: Solve for x
    x = 6,833,877.46/2,712.83
  6. Step 6: Final answer
    x = 2,519.10

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1.5x scale

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.