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Finding the Fourth Proportional to 9,381.80, 12,945.30 and 5,846.12

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Solution

The fourth proportional to 9,381.80, 12,945.30 and 5,846.12 is: 8,066.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.80 : 12,945.30 = 5,846.12 : x
  2. Step 2: Convert to fraction form
    9,381.80/12,945.30 = 5,846.12/x
  3. Step 3: Cross multiply
    9,381.80x = 12,945.30 × 5,846.12
  4. Step 4: Simplify right side
    9,381.80x = 75,679,777.24
  5. Step 5: Solve for x
    x = 75,679,777.24/9,381.80
  6. Step 6: Final answer
    x = 8,066.66

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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.