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Finding the Fourth Proportional to 31,403.70, 47,104.74 and 7,711.47

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Solution

The fourth proportional to 31,403.70, 47,104.74 and 7,711.47 is: 11,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403.70 : 47,104.74 = 7,711.47 : x
  2. Step 2: Convert to fraction form
    31,403.70/47,104.74 = 7,711.47/x
  3. Step 3: Cross multiply
    31,403.70x = 47,104.74 × 7,711.47
  4. Step 4: Simplify right side
    31,403.70x = 363,246,789.37
  5. Step 5: Solve for x
    x = 363,246,789.37/31,403.70
  6. Step 6: Final answer
    x = 11,567.01

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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.