Home / 31,401-47,123.10-12,933

Finding the Fourth Proportional to 31,401, 47,123.10 and 12,933

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Solution

The fourth proportional to 31,401, 47,123.10 and 12,933 is: 19,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,401 : 47,123.10 = 12,933 : x
  2. Step 2: Convert to fraction form
    31,401/47,123.10 = 12,933/x
  3. Step 3: Cross multiply
    31,401x = 47,123.10 × 12,933
  4. Step 4: Simplify right side
    31,401x = 609,443,052.30
  5. Step 5: Solve for x
    x = 609,443,052.30/31,401
  6. Step 6: Final answer
    x = 19,408.40

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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.