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Finding the Fourth Proportional to 6,537, 9,807.66 and 2,639.28

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Solution

The fourth proportional to 6,537, 9,807.66 and 2,639.28 is: 3,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 9,807.66 = 2,639.28 : x
  2. Step 2: Convert to fraction form
    6,537/9,807.66 = 2,639.28/x
  3. Step 3: Cross multiply
    6,537x = 9,807.66 × 2,639.28
  4. Step 4: Simplify right side
    6,537x = 25,885,160.88
  5. Step 5: Solve for x
    x = 25,885,160.88/6,537
  6. Step 6: Final answer
    x = 3,959.79

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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.