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Finding the Fourth Proportional to 11,383.84, 15,719.62 and 7,142.20

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Solution

The fourth proportional to 11,383.84, 15,719.62 and 7,142.20 is: 9,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.84 : 15,719.62 = 7,142.20 : x
  2. Step 2: Convert to fraction form
    11,383.84/15,719.62 = 7,142.20/x
  3. Step 3: Cross multiply
    11,383.84x = 15,719.62 × 7,142.20
  4. Step 4: Simplify right side
    11,383.84x = 112,272,669.96
  5. Step 5: Solve for x
    x = 112,272,669.96/11,383.84
  6. Step 6: Final answer
    x = 9,862.46

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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.