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Finding the Fourth Proportional to 12,275.40, 16,940.04 and 6,686.40

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Solution

The fourth proportional to 12,275.40, 16,940.04 and 6,686.40 is: 9,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.40 : 16,940.04 = 6,686.40 : x
  2. Step 2: Convert to fraction form
    12,275.40/16,940.04 = 6,686.40/x
  3. Step 3: Cross multiply
    12,275.40x = 16,940.04 × 6,686.40
  4. Step 4: Simplify right side
    12,275.40x = 113,267,883.46
  5. Step 5: Solve for x
    x = 113,267,883.46/12,275.40
  6. Step 6: Final answer
    x = 9,227.23

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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.