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Finding the Fourth Proportional to 11,411.54, 15,729.10 and 7,633.34

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Solution

The fourth proportional to 11,411.54, 15,729.10 and 7,633.34 is: 10,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.54 : 15,729.10 = 7,633.34 : x
  2. Step 2: Convert to fraction form
    11,411.54/15,729.10 = 7,633.34/x
  3. Step 3: Cross multiply
    11,411.54x = 15,729.10 × 7,633.34
  4. Step 4: Simplify right side
    11,411.54x = 120,065,470.47
  5. Step 5: Solve for x
    x = 120,065,470.47/11,411.54
  6. Step 6: Final answer
    x = 10,521.41

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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.