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Finding the Fourth Proportional to 8,659.68, 11,947.70 and 5,298.94

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Solution

The fourth proportional to 8,659.68, 11,947.70 and 5,298.94 is: 7,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,659.68 : 11,947.70 = 5,298.94 : x
  2. Step 2: Convert to fraction form
    8,659.68/11,947.70 = 5,298.94/x
  3. Step 3: Cross multiply
    8,659.68x = 11,947.70 × 5,298.94
  4. Step 4: Simplify right side
    8,659.68x = 63,310,145.44
  5. Step 5: Solve for x
    x = 63,310,145.44/8,659.68
  6. Step 6: Final answer
    x = 7,310.91

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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.