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Finding the Fourth Proportional to 5,309.70, 7,962.52 and 1,610.70

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Solution

The fourth proportional to 5,309.70, 7,962.52 and 1,610.70 is: 2,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.70 : 7,962.52 = 1,610.70 : x
  2. Step 2: Convert to fraction form
    5,309.70/7,962.52 = 1,610.70/x
  3. Step 3: Cross multiply
    5,309.70x = 7,962.52 × 1,610.70
  4. Step 4: Simplify right side
    5,309.70x = 12,825,230.96
  5. Step 5: Solve for x
    x = 12,825,230.96/5,309.70
  6. Step 6: Final answer
    x = 2,415.43

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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.