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Finding the Fourth Proportional to 7,711, 10,641.18 and 4,399

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Solution

The fourth proportional to 7,711, 10,641.18 and 4,399 is: 6,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711 : 10,641.18 = 4,399 : x
  2. Step 2: Convert to fraction form
    7,711/10,641.18 = 4,399/x
  3. Step 3: Cross multiply
    7,711x = 10,641.18 × 4,399
  4. Step 4: Simplify right side
    7,711x = 46,810,550.82
  5. Step 5: Solve for x
    x = 46,810,550.82/7,711
  6. Step 6: Final answer
    x = 6,070.62

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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.