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Finding the Fourth Proportional to 21,036.10, 31,554 and 5,241.02

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Solution

The fourth proportional to 21,036.10, 31,554 and 5,241.02 is: 7,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,036.10 : 31,554 = 5,241.02 : x
  2. Step 2: Convert to fraction form
    21,036.10/31,554 = 5,241.02/x
  3. Step 3: Cross multiply
    21,036.10x = 31,554 × 5,241.02
  4. Step 4: Simplify right side
    21,036.10x = 165,375,145.08
  5. Step 5: Solve for x
    x = 165,375,145.08/21,036.10
  6. Step 6: Final answer
    x = 7,861.49

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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.