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Finding the Fourth Proportional to 5,384.91, 8,078.91 and 1,688.20

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Solution

The fourth proportional to 5,384.91, 8,078.91 and 1,688.20 is: 2,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.91 : 8,078.91 = 1,688.20 : x
  2. Step 2: Convert to fraction form
    5,384.91/8,078.91 = 1,688.20/x
  3. Step 3: Cross multiply
    5,384.91x = 8,078.91 × 1,688.20
  4. Step 4: Simplify right side
    5,384.91x = 13,638,815.86
  5. Step 5: Solve for x
    x = 13,638,815.86/5,384.91
  6. Step 6: Final answer
    x = 2,532.78

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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.