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Finding the Fourth Proportional to 12,892, 19,338.40 and 6,136.10

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Solution

The fourth proportional to 12,892, 19,338.40 and 6,136.10 is: 9,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892 : 19,338.40 = 6,136.10 : x
  2. Step 2: Convert to fraction form
    12,892/19,338.40 = 6,136.10/x
  3. Step 3: Cross multiply
    12,892x = 19,338.40 × 6,136.10
  4. Step 4: Simplify right side
    12,892x = 118,662,356.24
  5. Step 5: Solve for x
    x = 118,662,356.24/12,892
  6. Step 6: Final answer
    x = 9,204.34

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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.