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Finding the Fourth Proportional to 6,507.14, 8,976.47 and 3,989.84

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Solution

The fourth proportional to 6,507.14, 8,976.47 and 3,989.84 is: 5,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.14 : 8,976.47 = 3,989.84 : x
  2. Step 2: Convert to fraction form
    6,507.14/8,976.47 = 3,989.84/x
  3. Step 3: Cross multiply
    6,507.14x = 8,976.47 × 3,989.84
  4. Step 4: Simplify right side
    6,507.14x = 35,814,614.23
  5. Step 5: Solve for x
    x = 35,814,614.23/6,507.14
  6. Step 6: Final answer
    x = 5,503.90

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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.