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Finding the Fourth Proportional to 7,843.55, 10,824.99 and 4,657.82

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Solution

The fourth proportional to 7,843.55, 10,824.99 and 4,657.82 is: 6,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.55 : 10,824.99 = 4,657.82 : x
  2. Step 2: Convert to fraction form
    7,843.55/10,824.99 = 4,657.82/x
  3. Step 3: Cross multiply
    7,843.55x = 10,824.99 × 4,657.82
  4. Step 4: Simplify right side
    7,843.55x = 50,420,854.92
  5. Step 5: Solve for x
    x = 50,420,854.92/7,843.55
  6. Step 6: Final answer
    x = 6,428.32

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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.