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Finding the Fourth Proportional to 20,994, 31,496.12 and 6,402

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Solution

The fourth proportional to 20,994, 31,496.12 and 6,402 is: 9,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,994 : 31,496.12 = 6,402 : x
  2. Step 2: Convert to fraction form
    20,994/31,496.12 = 6,402/x
  3. Step 3: Cross multiply
    20,994x = 31,496.12 × 6,402
  4. Step 4: Simplify right side
    20,994x = 201,638,160.24
  5. Step 5: Solve for x
    x = 201,638,160.24/20,994
  6. Step 6: Final answer
    x = 9,604.56

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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.