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Finding the Fourth Proportional to 10,674.24, 15,991.88 and 7,870

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Solution

The fourth proportional to 10,674.24, 15,991.88 and 7,870 is: 11,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.24 : 15,991.88 = 7,870 : x
  2. Step 2: Convert to fraction form
    10,674.24/15,991.88 = 7,870/x
  3. Step 3: Cross multiply
    10,674.24x = 15,991.88 × 7,870
  4. Step 4: Simplify right side
    10,674.24x = 125,856,095.60
  5. Step 5: Solve for x
    x = 125,856,095.60/10,674.24
  6. Step 6: Final answer
    x = 11,790.64

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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.