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Finding the Fourth Proportional to 6,443.70, 9,666 and 2,061.50

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Solution

The fourth proportional to 6,443.70, 9,666 and 2,061.50 is: 3,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.70 : 9,666 = 2,061.50 : x
  2. Step 2: Convert to fraction form
    6,443.70/9,666 = 2,061.50/x
  3. Step 3: Cross multiply
    6,443.70x = 9,666 × 2,061.50
  4. Step 4: Simplify right side
    6,443.70x = 19,926,459
  5. Step 5: Solve for x
    x = 19,926,459/6,443.70
  6. Step 6: Final answer
    x = 3,092.39

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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.