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Finding the Fourth Proportional to 5,376, 8,064.90 and 1,677.66

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Solution

The fourth proportional to 5,376, 8,064.90 and 1,677.66 is: 2,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376 : 8,064.90 = 1,677.66 : x
  2. Step 2: Convert to fraction form
    5,376/8,064.90 = 1,677.66/x
  3. Step 3: Cross multiply
    5,376x = 8,064.90 × 1,677.66
  4. Step 4: Simplify right side
    5,376x = 13,530,160.13
  5. Step 5: Solve for x
    x = 13,530,160.13/5,376
  6. Step 6: Final answer
    x = 2,516.77

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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.