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Finding the Fourth Proportional to 31,408.80, 47,106.80 and 13,628.72

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Solution

The fourth proportional to 31,408.80, 47,106.80 and 13,628.72 is: 20,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.80 : 47,106.80 = 13,628.72 : x
  2. Step 2: Convert to fraction form
    31,408.80/47,106.80 = 13,628.72/x
  3. Step 3: Cross multiply
    31,408.80x = 47,106.80 × 13,628.72
  4. Step 4: Simplify right side
    31,408.80x = 642,005,387.30
  5. Step 5: Solve for x
    x = 642,005,387.30/31,408.80
  6. Step 6: Final answer
    x = 20,440.30

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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.