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Finding the Fourth Proportional to 7,856.68, 10,843.50 and 4,498.84

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Solution

The fourth proportional to 7,856.68, 10,843.50 and 4,498.84 is: 6,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.68 : 10,843.50 = 4,498.84 : x
  2. Step 2: Convert to fraction form
    7,856.68/10,843.50 = 4,498.84/x
  3. Step 3: Cross multiply
    7,856.68x = 10,843.50 × 4,498.84
  4. Step 4: Simplify right side
    7,856.68x = 48,783,171.54
  5. Step 5: Solve for x
    x = 48,783,171.54/7,856.68
  6. Step 6: Final answer
    x = 6,209.13

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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.