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Finding the Fourth Proportional to 6,642.47, 9,963.09 and 2,025.47

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Solution

The fourth proportional to 6,642.47, 9,963.09 and 2,025.47 is: 3,038.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.47 : 9,963.09 = 2,025.47 : x
  2. Step 2: Convert to fraction form
    6,642.47/9,963.09 = 2,025.47/x
  3. Step 3: Cross multiply
    6,642.47x = 9,963.09 × 2,025.47
  4. Step 4: Simplify right side
    6,642.47x = 20,179,964.81
  5. Step 5: Solve for x
    x = 20,179,964.81/6,642.47
  6. Step 6: Final answer
    x = 3,038.02

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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.