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Finding the Fourth Proportional to 12,290.63, 16,956.78 and 7,251.41

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Solution

The fourth proportional to 12,290.63, 16,956.78 and 7,251.41 is: 10,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.63 : 16,956.78 = 7,251.41 : x
  2. Step 2: Convert to fraction form
    12,290.63/16,956.78 = 7,251.41/x
  3. Step 3: Cross multiply
    12,290.63x = 16,956.78 × 7,251.41
  4. Step 4: Simplify right side
    12,290.63x = 122,960,479.28
  5. Step 5: Solve for x
    x = 122,960,479.28/12,290.63
  6. Step 6: Final answer
    x = 10,004.41

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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.