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Finding the Fourth Proportional to 5,008.65, 6,911.90 and 2,770.50

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Solution

The fourth proportional to 5,008.65, 6,911.90 and 2,770.50 is: 3,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,008.65 : 6,911.90 = 2,770.50 : x
  2. Step 2: Convert to fraction form
    5,008.65/6,911.90 = 2,770.50/x
  3. Step 3: Cross multiply
    5,008.65x = 6,911.90 × 2,770.50
  4. Step 4: Simplify right side
    5,008.65x = 19,149,405.10
  5. Step 5: Solve for x
    x = 19,149,405.10/5,008.65
  6. Step 6: Final answer
    x = 3,823.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.