Home / 12,297.38-16,964.30-7,758

Finding the Fourth Proportional to 12,297.38, 16,964.30 and 7,758

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Solution

The fourth proportional to 12,297.38, 16,964.30 and 7,758 is: 10,702.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.38 : 16,964.30 = 7,758 : x
  2. Step 2: Convert to fraction form
    12,297.38/16,964.30 = 7,758/x
  3. Step 3: Cross multiply
    12,297.38x = 16,964.30 × 7,758
  4. Step 4: Simplify right side
    12,297.38x = 131,609,058.80
  5. Step 5: Solve for x
    x = 131,609,058.80/12,297.38
  6. Step 6: Final answer
    x = 10,702.21

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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.