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Finding the Fourth Proportional to 5,051.34, 6,970.39 and 3,725.78

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Solution

The fourth proportional to 5,051.34, 6,970.39 and 3,725.78 is: 5,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.34 : 6,970.39 = 3,725.78 : x
  2. Step 2: Convert to fraction form
    5,051.34/6,970.39 = 3,725.78/x
  3. Step 3: Cross multiply
    5,051.34x = 6,970.39 × 3,725.78
  4. Step 4: Simplify right side
    5,051.34x = 25,970,095.49
  5. Step 5: Solve for x
    x = 25,970,095.49/5,051.34
  6. Step 6: Final answer
    x = 5,141.23

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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.