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Finding the Fourth Proportional to 31,641.09, 47,462.06 and 8,267.50

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Solution

The fourth proportional to 31,641.09, 47,462.06 and 8,267.50 is: 12,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,641.09 : 47,462.06 = 8,267.50 : x
  2. Step 2: Convert to fraction form
    31,641.09/47,462.06 = 8,267.50/x
  3. Step 3: Cross multiply
    31,641.09x = 47,462.06 × 8,267.50
  4. Step 4: Simplify right side
    31,641.09x = 392,392,581.05
  5. Step 5: Solve for x
    x = 392,392,581.05/31,641.09
  6. Step 6: Final answer
    x = 12,401.36

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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.