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Finding the Fourth Proportional to 31,891.70, 47,837.55 and 20,218.10

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Solution

The fourth proportional to 31,891.70, 47,837.55 and 20,218.10 is: 30,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.70 : 47,837.55 = 20,218.10 : x
  2. Step 2: Convert to fraction form
    31,891.70/47,837.55 = 20,218.10/x
  3. Step 3: Cross multiply
    31,891.70x = 47,837.55 × 20,218.10
  4. Step 4: Simplify right side
    31,891.70x = 967,184,369.66
  5. Step 5: Solve for x
    x = 967,184,369.66/31,891.70
  6. Step 6: Final answer
    x = 30,327.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.