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Finding the Fourth Proportional to 5,337.86, 8,007.81 and 1,639.43

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Solution

The fourth proportional to 5,337.86, 8,007.81 and 1,639.43 is: 2,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.86 : 8,007.81 = 1,639.43 : x
  2. Step 2: Convert to fraction form
    5,337.86/8,007.81 = 1,639.43/x
  3. Step 3: Cross multiply
    5,337.86x = 8,007.81 × 1,639.43
  4. Step 4: Simplify right side
    5,337.86x = 13,128,243.95
  5. Step 5: Solve for x
    x = 13,128,243.95/5,337.86
  6. Step 6: Final answer
    x = 2,459.46

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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.