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Finding the Fourth Proportional to 21,715.71, 32,576.00 and 6,921.20

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Solution

The fourth proportional to 21,715.71, 32,576.00 and 6,921.20 is: 10,382.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,715.71 : 32,576.00 = 6,921.20 : x
  2. Step 2: Convert to fraction form
    21,715.71/32,576.00 = 6,921.20/x
  3. Step 3: Cross multiply
    21,715.71x = 32,576.00 × 6,921.20
  4. Step 4: Simplify right side
    21,715.71x = 225,464,813.71
  5. Step 5: Solve for x
    x = 225,464,813.71/21,715.71
  6. Step 6: Final answer
    x = 10,382.57

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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.