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Finding the Fourth Proportional to 5,077.50, 7,007.91 and 2,869.50

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Solution

The fourth proportional to 5,077.50, 7,007.91 and 2,869.50 is: 3,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.50 : 7,007.91 = 2,869.50 : x
  2. Step 2: Convert to fraction form
    5,077.50/7,007.91 = 2,869.50/x
  3. Step 3: Cross multiply
    5,077.50x = 7,007.91 × 2,869.50
  4. Step 4: Simplify right side
    5,077.50x = 20,109,197.75
  5. Step 5: Solve for x
    x = 20,109,197.75/5,077.50
  6. Step 6: Final answer
    x = 3,960.45

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1.5x scale

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.