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Finding the Fourth Proportional to 12,280, 16,946.40 and 6,691

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Solution

The fourth proportional to 12,280, 16,946.40 and 6,691 is: 9,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280 : 16,946.40 = 6,691 : x
  2. Step 2: Convert to fraction form
    12,280/16,946.40 = 6,691/x
  3. Step 3: Cross multiply
    12,280x = 16,946.40 × 6,691
  4. Step 4: Simplify right side
    12,280x = 113,388,362.40
  5. Step 5: Solve for x
    x = 113,388,362.40/12,280
  6. Step 6: Final answer
    x = 9,233.58

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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.