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Finding the Fourth Proportional to 6,847.91, 9,447.90 and 5,407.70

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Solution

The fourth proportional to 6,847.91, 9,447.90 and 5,407.70 is: 7,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.91 : 9,447.90 = 5,407.70 : x
  2. Step 2: Convert to fraction form
    6,847.91/9,447.90 = 5,407.70/x
  3. Step 3: Cross multiply
    6,847.91x = 9,447.90 × 5,407.70
  4. Step 4: Simplify right side
    6,847.91x = 51,091,408.83
  5. Step 5: Solve for x
    x = 51,091,408.83/6,847.91
  6. Step 6: Final answer
    x = 7,460.88

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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.