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Finding the Fourth Proportional to 6,891.54, 9,513.17 and 5,213.48

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Solution

The fourth proportional to 6,891.54, 9,513.17 and 5,213.48 is: 7,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.54 : 9,513.17 = 5,213.48 : x
  2. Step 2: Convert to fraction form
    6,891.54/9,513.17 = 5,213.48/x
  3. Step 3: Cross multiply
    6,891.54x = 9,513.17 × 5,213.48
  4. Step 4: Simplify right side
    6,891.54x = 49,596,687.00
  5. Step 5: Solve for x
    x = 49,596,687.00/6,891.54
  6. Step 6: Final answer
    x = 7,196.75

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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.