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Finding the Fourth Proportional to 11,420.88, 15,761.42 and 6,943.90

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Solution

The fourth proportional to 11,420.88, 15,761.42 and 6,943.90 is: 9,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.88 : 15,761.42 = 6,943.90 : x
  2. Step 2: Convert to fraction form
    11,420.88/15,761.42 = 6,943.90/x
  3. Step 3: Cross multiply
    11,420.88x = 15,761.42 × 6,943.90
  4. Step 4: Simplify right side
    11,420.88x = 109,445,724.34
  5. Step 5: Solve for x
    x = 109,445,724.34/11,420.88
  6. Step 6: Final answer
    x = 9,582.95

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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.