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Finding the Fourth Proportional to 11,433.42, 15,781.23 and 6,719.22

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Solution

The fourth proportional to 11,433.42, 15,781.23 and 6,719.22 is: 9,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433.42 : 15,781.23 = 6,719.22 : x
  2. Step 2: Convert to fraction form
    11,433.42/15,781.23 = 6,719.22/x
  3. Step 3: Cross multiply
    11,433.42x = 15,781.23 × 6,719.22
  4. Step 4: Simplify right side
    11,433.42x = 106,037,556.24
  5. Step 5: Solve for x
    x = 106,037,556.24/11,433.42
  6. Step 6: Final answer
    x = 9,274.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.