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Finding the Fourth Proportional to 5,349.24, 7,382.62 and 2,991.50

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Solution

The fourth proportional to 5,349.24, 7,382.62 and 2,991.50 is: 4,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.24 : 7,382.62 = 2,991.50 : x
  2. Step 2: Convert to fraction form
    5,349.24/7,382.62 = 2,991.50/x
  3. Step 3: Cross multiply
    5,349.24x = 7,382.62 × 2,991.50
  4. Step 4: Simplify right side
    5,349.24x = 22,085,107.73
  5. Step 5: Solve for x
    x = 22,085,107.73/5,349.24
  6. Step 6: Final answer
    x = 4,128.64

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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.