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Finding the Fourth Proportional to 1,983.80, 2,975.70 and 999.65

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Solution

The fourth proportional to 1,983.80, 2,975.70 and 999.65 is: 1,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.80 : 2,975.70 = 999.65 : x
  2. Step 2: Convert to fraction form
    1,983.80/2,975.70 = 999.65/x
  3. Step 3: Cross multiply
    1,983.80x = 2,975.70 × 999.65
  4. Step 4: Simplify right side
    1,983.80x = 2,974,658.51
  5. Step 5: Solve for x
    x = 2,974,658.51/1,983.80
  6. Step 6: Final answer
    x = 1,499.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.