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Finding the Fourth Proportional to 27,284.64, 40,916.88 and 21,452.64

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Solution

The fourth proportional to 27,284.64, 40,916.88 and 21,452.64 is: 32,171.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284.64 : 40,916.88 = 21,452.64 : x
  2. Step 2: Convert to fraction form
    27,284.64/40,916.88 = 21,452.64/x
  3. Step 3: Cross multiply
    27,284.64x = 40,916.88 × 21,452.64
  4. Step 4: Simplify right side
    27,284.64x = 877,775,096.56
  5. Step 5: Solve for x
    x = 877,775,096.56/27,284.64
  6. Step 6: Final answer
    x = 32,171.03

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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.