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Finding the Fourth Proportional to 10,941.35, 16,411.91 and 7,422.65

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Solution

The fourth proportional to 10,941.35, 16,411.91 and 7,422.65 is: 11,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941.35 : 16,411.91 = 7,422.65 : x
  2. Step 2: Convert to fraction form
    10,941.35/16,411.91 = 7,422.65/x
  3. Step 3: Cross multiply
    10,941.35x = 16,411.91 × 7,422.65
  4. Step 4: Simplify right side
    10,941.35x = 121,819,863.76
  5. Step 5: Solve for x
    x = 121,819,863.76/10,941.35
  6. Step 6: Final answer
    x = 11,133.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.