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Finding the Fourth Proportional to 12,204.40, 16,840.74 and 6,898

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Solution

The fourth proportional to 12,204.40, 16,840.74 and 6,898 is: 9,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.40 : 16,840.74 = 6,898 : x
  2. Step 2: Convert to fraction form
    12,204.40/16,840.74 = 6,898/x
  3. Step 3: Cross multiply
    12,204.40x = 16,840.74 × 6,898
  4. Step 4: Simplify right side
    12,204.40x = 116,167,424.52
  5. Step 5: Solve for x
    x = 116,167,424.52/12,204.40
  6. Step 6: Final answer
    x = 9,518.49

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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.