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Finding the Fourth Proportional to 31,484.70, 47,227 and 21,594

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Solution

The fourth proportional to 31,484.70, 47,227 and 21,594 is: 32,390.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,484.70 : 47,227 = 21,594 : x
  2. Step 2: Convert to fraction form
    31,484.70/47,227 = 21,594/x
  3. Step 3: Cross multiply
    31,484.70x = 47,227 × 21,594
  4. Step 4: Simplify right side
    31,484.70x = 1,019,819,838
  5. Step 5: Solve for x
    x = 1,019,819,838/31,484.70
  6. Step 6: Final answer
    x = 32,390.97

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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.