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Finding the Fourth Proportional to 5,376.66, 8,065.91 and 1,678.82

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Solution

The fourth proportional to 5,376.66, 8,065.91 and 1,678.82 is: 2,518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.66 : 8,065.91 = 1,678.82 : x
  2. Step 2: Convert to fraction form
    5,376.66/8,065.91 = 1,678.82/x
  3. Step 3: Cross multiply
    5,376.66x = 8,065.91 × 1,678.82
  4. Step 4: Simplify right side
    5,376.66x = 13,541,162.30
  5. Step 5: Solve for x
    x = 13,541,162.30/5,376.66
  6. Step 6: Final answer
    x = 2,518.51

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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.