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Finding the Fourth Proportional to 12,283.54, 16,946.97 and 9,451.78

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Solution

The fourth proportional to 12,283.54, 16,946.97 and 9,451.78 is: 13,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.54 : 16,946.97 = 9,451.78 : x
  2. Step 2: Convert to fraction form
    12,283.54/16,946.97 = 9,451.78/x
  3. Step 3: Cross multiply
    12,283.54x = 16,946.97 × 9,451.78
  4. Step 4: Simplify right side
    12,283.54x = 160,179,032.11
  5. Step 5: Solve for x
    x = 160,179,032.11/12,283.54
  6. Step 6: Final answer
    x = 13,040.14

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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.