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Finding the Fourth Proportional to 35,422.96, 53,175.40 and 21,404.40

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Solution

The fourth proportional to 35,422.96, 53,175.40 and 21,404.40 is: 32,131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,422.96 : 53,175.40 = 21,404.40 : x
  2. Step 2: Convert to fraction form
    35,422.96/53,175.40 = 21,404.40/x
  3. Step 3: Cross multiply
    35,422.96x = 53,175.40 × 21,404.40
  4. Step 4: Simplify right side
    35,422.96x = 1,138,187,531.76
  5. Step 5: Solve for x
    x = 1,138,187,531.76/35,422.96
  6. Step 6: Final answer
    x = 32,131.35

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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.