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Finding the Fourth Proportional to 6,677.65, 10,016.21 and 1,680.05

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Solution

The fourth proportional to 6,677.65, 10,016.21 and 1,680.05 is: 2,520.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.65 : 10,016.21 = 1,680.05 : x
  2. Step 2: Convert to fraction form
    6,677.65/10,016.21 = 1,680.05/x
  3. Step 3: Cross multiply
    6,677.65x = 10,016.21 × 1,680.05
  4. Step 4: Simplify right side
    6,677.65x = 16,827,733.61
  5. Step 5: Solve for x
    x = 16,827,733.61/6,677.65
  6. Step 6: Final answer
    x = 2,520.01

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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.