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Finding the Fourth Proportional to 6,442.24, 8,889.90 and 3,610

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Solution

The fourth proportional to 6,442.24, 8,889.90 and 3,610 is: 4,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.24 : 8,889.90 = 3,610 : x
  2. Step 2: Convert to fraction form
    6,442.24/8,889.90 = 3,610/x
  3. Step 3: Cross multiply
    6,442.24x = 8,889.90 × 3,610
  4. Step 4: Simplify right side
    6,442.24x = 32,092,539
  5. Step 5: Solve for x
    x = 32,092,539/6,442.24
  6. Step 6: Final answer
    x = 4,981.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.