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Finding the Fourth Proportional to 6,680.72, 10,021.40 and 2,064.40

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Solution

The fourth proportional to 6,680.72, 10,021.40 and 2,064.40 is: 3,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.72 : 10,021.40 = 2,064.40 : x
  2. Step 2: Convert to fraction form
    6,680.72/10,021.40 = 2,064.40/x
  3. Step 3: Cross multiply
    6,680.72x = 10,021.40 × 2,064.40
  4. Step 4: Simplify right side
    6,680.72x = 20,688,178.16
  5. Step 5: Solve for x
    x = 20,688,178.16/6,680.72
  6. Step 6: Final answer
    x = 3,096.70

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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.