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Finding the Fourth Proportional to 31,760.35, 47,640.06 and 7,744.75

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Solution

The fourth proportional to 31,760.35, 47,640.06 and 7,744.75 is: 11,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,760.35 : 47,640.06 = 7,744.75 : x
  2. Step 2: Convert to fraction form
    31,760.35/47,640.06 = 7,744.75/x
  3. Step 3: Cross multiply
    31,760.35x = 47,640.06 × 7,744.75
  4. Step 4: Simplify right side
    31,760.35x = 368,960,235.58
  5. Step 5: Solve for x
    x = 368,960,235.58/31,760.35
  6. Step 6: Final answer
    x = 11,617.01

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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.