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Finding the Fourth Proportional to 10,911, 15,057.18 and 5,943

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Solution

The fourth proportional to 10,911, 15,057.18 and 5,943 is: 8,201.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911 : 15,057.18 = 5,943 : x
  2. Step 2: Convert to fraction form
    10,911/15,057.18 = 5,943/x
  3. Step 3: Cross multiply
    10,911x = 15,057.18 × 5,943
  4. Step 4: Simplify right side
    10,911x = 89,484,820.74
  5. Step 5: Solve for x
    x = 89,484,820.74/10,911
  6. Step 6: Final answer
    x = 8,201.34

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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.