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Finding the Fourth Proportional to 31,814, 47,738.36 and 15,398

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Solution

The fourth proportional to 31,814, 47,738.36 and 15,398 is: 23,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,814 : 47,738.36 = 15,398 : x
  2. Step 2: Convert to fraction form
    31,814/47,738.36 = 15,398/x
  3. Step 3: Cross multiply
    31,814x = 47,738.36 × 15,398
  4. Step 4: Simplify right side
    31,814x = 735,075,267.28
  5. Step 5: Solve for x
    x = 735,075,267.28/31,814
  6. Step 6: Final answer
    x = 23,105.40

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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.