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Finding the Fourth Proportional to 31,903.20, 43,980.78 and 22,442.40

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Solution

The fourth proportional to 31,903.20, 43,980.78 and 22,442.40 is: 30,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.20 : 43,980.78 = 22,442.40 : x
  2. Step 2: Convert to fraction form
    31,903.20/43,980.78 = 22,442.40/x
  3. Step 3: Cross multiply
    31,903.20x = 43,980.78 × 22,442.40
  4. Step 4: Simplify right side
    31,903.20x = 987,034,257.07
  5. Step 5: Solve for x
    x = 987,034,257.07/31,903.20
  6. Step 6: Final answer
    x = 30,938.41

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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.