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Finding the Fourth Proportional to 12,872.94, 17,764.52 and 7,207.74

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Solution

The fourth proportional to 12,872.94, 17,764.52 and 7,207.74 is: 9,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.94 : 17,764.52 = 7,207.74 : x
  2. Step 2: Convert to fraction form
    12,872.94/17,764.52 = 7,207.74/x
  3. Step 3: Cross multiply
    12,872.94x = 17,764.52 × 7,207.74
  4. Step 4: Simplify right side
    12,872.94x = 128,042,041.38
  5. Step 5: Solve for x
    x = 128,042,041.38/12,872.94
  6. Step 6: Final answer
    x = 9,946.60

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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.