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Finding the Fourth Proportional to 12,302.78, 16,977.83 and 6,713.78

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Solution

The fourth proportional to 12,302.78, 16,977.83 and 6,713.78 is: 9,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.78 : 16,977.83 = 6,713.78 : x
  2. Step 2: Convert to fraction form
    12,302.78/16,977.83 = 6,713.78/x
  3. Step 3: Cross multiply
    12,302.78x = 16,977.83 × 6,713.78
  4. Step 4: Simplify right side
    12,302.78x = 113,985,297.04
  5. Step 5: Solve for x
    x = 113,985,297.04/12,302.78
  6. Step 6: Final answer
    x = 9,265.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.