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Finding the Fourth Proportional to 14,513.10, 21,771 and 5,152.20

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Solution

The fourth proportional to 14,513.10, 21,771 and 5,152.20 is: 7,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.10 : 21,771 = 5,152.20 : x
  2. Step 2: Convert to fraction form
    14,513.10/21,771 = 5,152.20/x
  3. Step 3: Cross multiply
    14,513.10x = 21,771 × 5,152.20
  4. Step 4: Simplify right side
    14,513.10x = 112,168,546.20
  5. Step 5: Solve for x
    x = 112,168,546.20/14,513.10
  6. Step 6: Final answer
    x = 7,728.78

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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.