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Finding the Fourth Proportional to 7,865.92, 10,833.06 and 7,841.80

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Solution

The fourth proportional to 7,865.92, 10,833.06 and 7,841.80 is: 10,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.92 : 10,833.06 = 7,841.80 : x
  2. Step 2: Convert to fraction form
    7,865.92/10,833.06 = 7,841.80/x
  3. Step 3: Cross multiply
    7,865.92x = 10,833.06 × 7,841.80
  4. Step 4: Simplify right side
    7,865.92x = 84,950,689.91
  5. Step 5: Solve for x
    x = 84,950,689.91/7,865.92
  6. Step 6: Final answer
    x = 10,799.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.