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Finding the Fourth Proportional to 6,864.71, 10,299.11 and 3,580.11

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Solution

The fourth proportional to 6,864.71, 10,299.11 and 3,580.11 is: 5,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.71 : 10,299.11 = 3,580.11 : x
  2. Step 2: Convert to fraction form
    6,864.71/10,299.11 = 3,580.11/x
  3. Step 3: Cross multiply
    6,864.71x = 10,299.11 × 3,580.11
  4. Step 4: Simplify right side
    6,864.71x = 36,871,955.65
  5. Step 5: Solve for x
    x = 36,871,955.65/6,864.71
  6. Step 6: Final answer
    x = 5,371.24

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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.