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Finding the Fourth Proportional to 6,911.68, 10,371.94 and 6,886.16

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Solution

The fourth proportional to 6,911.68, 10,371.94 and 6,886.16 is: 10,333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.68 : 10,371.94 = 6,886.16 : x
  2. Step 2: Convert to fraction form
    6,911.68/10,371.94 = 6,886.16/x
  3. Step 3: Cross multiply
    6,911.68x = 10,371.94 × 6,886.16
  4. Step 4: Simplify right side
    6,911.68x = 71,422,838.35
  5. Step 5: Solve for x
    x = 71,422,838.35/6,911.68
  6. Step 6: Final answer
    x = 10,333.64

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1.5x scale

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.