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Finding the Fourth Proportional to 9,889.87, 14,830 and 3,652.82

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Solution

The fourth proportional to 9,889.87, 14,830 and 3,652.82 is: 5,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.87 : 14,830 = 3,652.82 : x
  2. Step 2: Convert to fraction form
    9,889.87/14,830 = 3,652.82/x
  3. Step 3: Cross multiply
    9,889.87x = 14,830 × 3,652.82
  4. Step 4: Simplify right side
    9,889.87x = 54,171,320.60
  5. Step 5: Solve for x
    x = 54,171,320.60/9,889.87
  6. Step 6: Final answer
    x = 5,477.46

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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.