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Finding the Fourth Proportional to 12,392, 17,101.12 and 6,803.20

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Solution

The fourth proportional to 12,392, 17,101.12 and 6,803.20 is: 9,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,392 : 17,101.12 = 6,803.20 : x
  2. Step 2: Convert to fraction form
    12,392/17,101.12 = 6,803.20/x
  3. Step 3: Cross multiply
    12,392x = 17,101.12 × 6,803.20
  4. Step 4: Simplify right side
    12,392x = 116,342,339.58
  5. Step 5: Solve for x
    x = 116,342,339.58/12,392
  6. Step 6: Final answer
    x = 9,388.50

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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.