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Finding the Fourth Proportional to 5,289.92, 7,934.79 and 1,827.08

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Solution

The fourth proportional to 5,289.92, 7,934.79 and 1,827.08 is: 2,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.92 : 7,934.79 = 1,827.08 : x
  2. Step 2: Convert to fraction form
    5,289.92/7,934.79 = 1,827.08/x
  3. Step 3: Cross multiply
    5,289.92x = 7,934.79 × 1,827.08
  4. Step 4: Simplify right side
    5,289.92x = 14,497,496.11
  5. Step 5: Solve for x
    x = 14,497,496.11/5,289.92
  6. Step 6: Final answer
    x = 2,740.59

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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.