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Finding the Fourth Proportional to 5,706.91, 7,875.45 and 3,189.06

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Solution

The fourth proportional to 5,706.91, 7,875.45 and 3,189.06 is: 4,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.91 : 7,875.45 = 3,189.06 : x
  2. Step 2: Convert to fraction form
    5,706.91/7,875.45 = 3,189.06/x
  3. Step 3: Cross multiply
    5,706.91x = 7,875.45 × 3,189.06
  4. Step 4: Simplify right side
    5,706.91x = 25,115,282.58
  5. Step 5: Solve for x
    x = 25,115,282.58/5,706.91
  6. Step 6: Final answer
    x = 4,400.85

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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.