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Finding the Fourth Proportional to 5,159.62, 7,739.43 and 2,385.47

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Solution

The fourth proportional to 5,159.62, 7,739.43 and 2,385.47 is: 3,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.62 : 7,739.43 = 2,385.47 : x
  2. Step 2: Convert to fraction form
    5,159.62/7,739.43 = 2,385.47/x
  3. Step 3: Cross multiply
    5,159.62x = 7,739.43 × 2,385.47
  4. Step 4: Simplify right side
    5,159.62x = 18,462,158.37
  5. Step 5: Solve for x
    x = 18,462,158.37/5,159.62
  6. Step 6: Final answer
    x = 3,578.20

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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.