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Finding the Fourth Proportional to 31,339.20, 43,225.80 and 19,408.20

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Solution

The fourth proportional to 31,339.20, 43,225.80 and 19,408.20 is: 26,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,339.20 : 43,225.80 = 19,408.20 : x
  2. Step 2: Convert to fraction form
    31,339.20/43,225.80 = 19,408.20/x
  3. Step 3: Cross multiply
    31,339.20x = 43,225.80 × 19,408.20
  4. Step 4: Simplify right side
    31,339.20x = 838,934,971.56
  5. Step 5: Solve for x
    x = 838,934,971.56/31,339.20
  6. Step 6: Final answer
    x = 26,769.51

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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.