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Finding the Fourth Proportional to 12,275.94, 16,940.80 and 6,686.94

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Solution

The fourth proportional to 12,275.94, 16,940.80 and 6,686.94 is: 9,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.94 : 16,940.80 = 6,686.94 : x
  2. Step 2: Convert to fraction form
    12,275.94/16,940.80 = 6,686.94/x
  3. Step 3: Cross multiply
    12,275.94x = 16,940.80 × 6,686.94
  4. Step 4: Simplify right side
    12,275.94x = 113,282,113.15
  5. Step 5: Solve for x
    x = 113,282,113.15/12,275.94
  6. Step 6: Final answer
    x = 9,227.98

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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.