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Finding the Fourth Proportional to 31,406.70, 47,109.24 and 7,714.48

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Solution

The fourth proportional to 31,406.70, 47,109.24 and 7,714.48 is: 11,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.70 : 47,109.24 = 7,714.48 : x
  2. Step 2: Convert to fraction form
    31,406.70/47,109.24 = 7,714.48/x
  3. Step 3: Cross multiply
    31,406.70x = 47,109.24 × 7,714.48
  4. Step 4: Simplify right side
    31,406.70x = 363,423,289.80
  5. Step 5: Solve for x
    x = 363,423,289.80/31,406.70
  6. Step 6: Final answer
    x = 11,571.52

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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.