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Finding the Fourth Proportional to 28,078, 42,129.30 and 13,297.48

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Solution

The fourth proportional to 28,078, 42,129.30 and 13,297.48 is: 19,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,078 : 42,129.30 = 13,297.48 : x
  2. Step 2: Convert to fraction form
    28,078/42,129.30 = 13,297.48/x
  3. Step 3: Cross multiply
    28,078x = 42,129.30 × 13,297.48
  4. Step 4: Simplify right side
    28,078x = 560,213,524.16
  5. Step 5: Solve for x
    x = 560,213,524.16/28,078
  6. Step 6: Final answer
    x = 19,952.05

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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.