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Finding the Fourth Proportional to 6,599, 9,898.56 and 1,982

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Solution

The fourth proportional to 6,599, 9,898.56 and 1,982 is: 2,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599 : 9,898.56 = 1,982 : x
  2. Step 2: Convert to fraction form
    6,599/9,898.56 = 1,982/x
  3. Step 3: Cross multiply
    6,599x = 9,898.56 × 1,982
  4. Step 4: Simplify right side
    6,599x = 19,618,945.92
  5. Step 5: Solve for x
    x = 19,618,945.92/6,599
  6. Step 6: Final answer
    x = 2,973.02

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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.