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Finding the Fourth Proportional to 2,188.07, 3,282.74 and 707.26

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Solution

The fourth proportional to 2,188.07, 3,282.74 and 707.26 is: 1,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.07 : 3,282.74 = 707.26 : x
  2. Step 2: Convert to fraction form
    2,188.07/3,282.74 = 707.26/x
  3. Step 3: Cross multiply
    2,188.07x = 3,282.74 × 707.26
  4. Step 4: Simplify right side
    2,188.07x = 2,321,753.91
  5. Step 5: Solve for x
    x = 2,321,753.91/2,188.07
  6. Step 6: Final answer
    x = 1,061.10

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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.