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Finding the Fourth Proportional to 7,291.86, 10,943.10 and 2,910.58

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Solution

The fourth proportional to 7,291.86, 10,943.10 and 2,910.58 is: 4,367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.86 : 10,943.10 = 2,910.58 : x
  2. Step 2: Convert to fraction form
    7,291.86/10,943.10 = 2,910.58/x
  3. Step 3: Cross multiply
    7,291.86x = 10,943.10 × 2,910.58
  4. Step 4: Simplify right side
    7,291.86x = 31,850,768.00
  5. Step 5: Solve for x
    x = 31,850,768.00/7,291.86
  6. Step 6: Final answer
    x = 4,367.99

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Why These Related Problems?

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