Home / 7,820.92-11,723.10-3,657.43

Finding the Fourth Proportional to 7,820.92, 11,723.10 and 3,657.43

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Solution

The fourth proportional to 7,820.92, 11,723.10 and 3,657.43 is: 5,482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.92 : 11,723.10 = 3,657.43 : x
  2. Step 2: Convert to fraction form
    7,820.92/11,723.10 = 3,657.43/x
  3. Step 3: Cross multiply
    7,820.92x = 11,723.10 × 3,657.43
  4. Step 4: Simplify right side
    7,820.92x = 42,876,417.63
  5. Step 5: Solve for x
    x = 42,876,417.63/7,820.92
  6. Step 6: Final answer
    x = 5,482.27

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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.