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Finding the Fourth Proportional to 11,383.90, 15,719.49 and 7,142.11

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Solution

The fourth proportional to 11,383.90, 15,719.49 and 7,142.11 is: 9,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.90 : 15,719.49 = 7,142.11 : x
  2. Step 2: Convert to fraction form
    11,383.90/15,719.49 = 7,142.11/x
  3. Step 3: Cross multiply
    11,383.90x = 15,719.49 × 7,142.11
  4. Step 4: Simplify right side
    11,383.90x = 112,270,326.72
  5. Step 5: Solve for x
    x = 112,270,326.72/11,383.90
  6. Step 6: Final answer
    x = 9,862.20

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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.