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Finding the Fourth Proportional to 6,864.71, 10,289.03 and 6,086.21

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Solution

The fourth proportional to 6,864.71, 10,289.03 and 6,086.21 is: 9,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.71 : 10,289.03 = 6,086.21 : x
  2. Step 2: Convert to fraction form
    6,864.71/10,289.03 = 6,086.21/x
  3. Step 3: Cross multiply
    6,864.71x = 10,289.03 × 6,086.21
  4. Step 4: Simplify right side
    6,864.71x = 62,621,115.40
  5. Step 5: Solve for x
    x = 62,621,115.40/6,864.71
  6. Step 6: Final answer
    x = 9,122.19

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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.