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Finding the Fourth Proportional to 12,857.95, 17,743.23 and 7,115.07

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Solution

The fourth proportional to 12,857.95, 17,743.23 and 7,115.07 is: 9,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.95 : 17,743.23 = 7,115.07 : x
  2. Step 2: Convert to fraction form
    12,857.95/17,743.23 = 7,115.07/x
  3. Step 3: Cross multiply
    12,857.95x = 17,743.23 × 7,115.07
  4. Step 4: Simplify right side
    12,857.95x = 126,244,323.48
  5. Step 5: Solve for x
    x = 126,244,323.48/12,857.95
  6. Step 6: Final answer
    x = 9,818.39

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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.