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Finding the Fourth Proportional to 6,856.94, 9,467.18 and 6,386.07

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Solution

The fourth proportional to 6,856.94, 9,467.18 and 6,386.07 is: 8,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.94 : 9,467.18 = 6,386.07 : x
  2. Step 2: Convert to fraction form
    6,856.94/9,467.18 = 6,386.07/x
  3. Step 3: Cross multiply
    6,856.94x = 9,467.18 × 6,386.07
  4. Step 4: Simplify right side
    6,856.94x = 60,458,074.18
  5. Step 5: Solve for x
    x = 60,458,074.18/6,856.94
  6. Step 6: Final answer
    x = 8,817.06

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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.