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Finding the Fourth Proportional to 7,833.62, 11,750.52 and 1,990.08

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Solution

The fourth proportional to 7,833.62, 11,750.52 and 1,990.08 is: 2,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.62 : 11,750.52 = 1,990.08 : x
  2. Step 2: Convert to fraction form
    7,833.62/11,750.52 = 1,990.08/x
  3. Step 3: Cross multiply
    7,833.62x = 11,750.52 × 1,990.08
  4. Step 4: Simplify right side
    7,833.62x = 23,384,474.84
  5. Step 5: Solve for x
    x = 23,384,474.84/7,833.62
  6. Step 6: Final answer
    x = 2,985.14

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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.