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Finding the Fourth Proportional to 31,880.70, 47,822.85 and 9,694.80

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Solution

The fourth proportional to 31,880.70, 47,822.85 and 9,694.80 is: 14,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880.70 : 47,822.85 = 9,694.80 : x
  2. Step 2: Convert to fraction form
    31,880.70/47,822.85 = 9,694.80/x
  3. Step 3: Cross multiply
    31,880.70x = 47,822.85 × 9,694.80
  4. Step 4: Simplify right side
    31,880.70x = 463,632,966.18
  5. Step 5: Solve for x
    x = 463,632,966.18/31,880.70
  6. Step 6: Final answer
    x = 14,542.75

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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.