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Finding the Fourth Proportional to 5,159.70, 7,740.87 and 2,388.37

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Solution

The fourth proportional to 5,159.70, 7,740.87 and 2,388.37 is: 3,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.70 : 7,740.87 = 2,388.37 : x
  2. Step 2: Convert to fraction form
    5,159.70/7,740.87 = 2,388.37/x
  3. Step 3: Cross multiply
    5,159.70x = 7,740.87 × 2,388.37
  4. Step 4: Simplify right side
    5,159.70x = 18,488,033.37
  5. Step 5: Solve for x
    x = 18,488,033.37/5,159.70
  6. Step 6: Final answer
    x = 3,583.16

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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.