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Finding the Fourth Proportional to 5,130.87, 7,695.09 and 1,843.89

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Solution

The fourth proportional to 5,130.87, 7,695.09 and 1,843.89 is: 2,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.87 : 7,695.09 = 1,843.89 : x
  2. Step 2: Convert to fraction form
    5,130.87/7,695.09 = 1,843.89/x
  3. Step 3: Cross multiply
    5,130.87x = 7,695.09 × 1,843.89
  4. Step 4: Simplify right side
    5,130.87x = 14,188,899.50
  5. Step 5: Solve for x
    x = 14,188,899.50/5,130.87
  6. Step 6: Final answer
    x = 2,765.40

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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.