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Finding the Fourth Proportional to 7,187.85, 10,782.29 and 2,257.88

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Solution

The fourth proportional to 7,187.85, 10,782.29 and 2,257.88 is: 3,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.85 : 10,782.29 = 2,257.88 : x
  2. Step 2: Convert to fraction form
    7,187.85/10,782.29 = 2,257.88/x
  3. Step 3: Cross multiply
    7,187.85x = 10,782.29 × 2,257.88
  4. Step 4: Simplify right side
    7,187.85x = 24,345,051.74
  5. Step 5: Solve for x
    x = 24,345,051.74/7,187.85
  6. Step 6: Final answer
    x = 3,386.97

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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.