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Finding the Fourth Proportional to 5,130.88, 7,687.05 and 2,359.87

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Solution

The fourth proportional to 5,130.88, 7,687.05 and 2,359.87 is: 3,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.88 : 7,687.05 = 2,359.87 : x
  2. Step 2: Convert to fraction form
    5,130.88/7,687.05 = 2,359.87/x
  3. Step 3: Cross multiply
    5,130.88x = 7,687.05 × 2,359.87
  4. Step 4: Simplify right side
    5,130.88x = 18,140,410.62
  5. Step 5: Solve for x
    x = 18,140,410.62/5,130.88
  6. Step 6: Final answer
    x = 3,535.54

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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.