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Finding the Fourth Proportional to 6,718.88, 10,078.74 and 2,101.88

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Solution

The fourth proportional to 6,718.88, 10,078.74 and 2,101.88 is: 3,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718.88 : 10,078.74 = 2,101.88 : x
  2. Step 2: Convert to fraction form
    6,718.88/10,078.74 = 2,101.88/x
  3. Step 3: Cross multiply
    6,718.88x = 10,078.74 × 2,101.88
  4. Step 4: Simplify right side
    6,718.88x = 21,184,251.64
  5. Step 5: Solve for x
    x = 21,184,251.64/6,718.88
  6. Step 6: Final answer
    x = 3,152.95

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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.