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Finding the Fourth Proportional to 12,274.31, 16,938.04 and 6,969.42

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Solution

The fourth proportional to 12,274.31, 16,938.04 and 6,969.42 is: 9,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.31 : 16,938.04 = 6,969.42 : x
  2. Step 2: Convert to fraction form
    12,274.31/16,938.04 = 6,969.42/x
  3. Step 3: Cross multiply
    12,274.31x = 16,938.04 × 6,969.42
  4. Step 4: Simplify right side
    12,274.31x = 118,048,314.74
  5. Step 5: Solve for x
    x = 118,048,314.74/12,274.31
  6. Step 6: Final answer
    x = 9,617.51

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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.