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Finding the Fourth Proportional to 12,203.87, 16,840.31 and 6,897.56

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Solution

The fourth proportional to 12,203.87, 16,840.31 and 6,897.56 is: 9,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.87 : 16,840.31 = 6,897.56 : x
  2. Step 2: Convert to fraction form
    12,203.87/16,840.31 = 6,897.56/x
  3. Step 3: Cross multiply
    12,203.87x = 16,840.31 × 6,897.56
  4. Step 4: Simplify right side
    12,203.87x = 116,156,929.95
  5. Step 5: Solve for x
    x = 116,156,929.95/12,203.87
  6. Step 6: Final answer
    x = 9,518.04

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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.