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Finding the Fourth Proportional to 12,203.67, 16,840.61 and 6,898.61

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Solution

The fourth proportional to 12,203.67, 16,840.61 and 6,898.61 is: 9,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.67 : 16,840.61 = 6,898.61 : x
  2. Step 2: Convert to fraction form
    12,203.67/16,840.61 = 6,898.61/x
  3. Step 3: Cross multiply
    12,203.67x = 16,840.61 × 6,898.61
  4. Step 4: Simplify right side
    12,203.67x = 116,176,681.86
  5. Step 5: Solve for x
    x = 116,176,681.86/12,203.67
  6. Step 6: Final answer
    x = 9,519.82

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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.