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Finding the Fourth Proportional to 7,874.94, 10,865.84 and 5,986.02

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Solution

The fourth proportional to 7,874.94, 10,865.84 and 5,986.02 is: 8,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.94 : 10,865.84 = 5,986.02 : x
  2. Step 2: Convert to fraction form
    7,874.94/10,865.84 = 5,986.02/x
  3. Step 3: Cross multiply
    7,874.94x = 10,865.84 × 5,986.02
  4. Step 4: Simplify right side
    7,874.94x = 65,043,105.63
  5. Step 5: Solve for x
    x = 65,043,105.63/7,874.94
  6. Step 6: Final answer
    x = 8,259.50

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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.