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Finding the Fourth Proportional to 6,599.50, 9,900.06 and 1,982.50

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Solution

The fourth proportional to 6,599.50, 9,900.06 and 1,982.50 is: 2,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.50 : 9,900.06 = 1,982.50 : x
  2. Step 2: Convert to fraction form
    6,599.50/9,900.06 = 1,982.50/x
  3. Step 3: Cross multiply
    6,599.50x = 9,900.06 × 1,982.50
  4. Step 4: Simplify right side
    6,599.50x = 19,626,868.95
  5. Step 5: Solve for x
    x = 19,626,868.95/6,599.50
  6. Step 6: Final answer
    x = 2,973.99

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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.