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Finding the Fourth Proportional to 35,325, 52,987.50 and 13,112.64

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Solution

The fourth proportional to 35,325, 52,987.50 and 13,112.64 is: 19,668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,325 : 52,987.50 = 13,112.64 : x
  2. Step 2: Convert to fraction form
    35,325/52,987.50 = 13,112.64/x
  3. Step 3: Cross multiply
    35,325x = 52,987.50 × 13,112.64
  4. Step 4: Simplify right side
    35,325x = 694,806,012
  5. Step 5: Solve for x
    x = 694,806,012/35,325
  6. Step 6: Final answer
    x = 19,668.96

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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.