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Finding the Fourth Proportional to 13,430.78, 18,531.48 and 8,125.48

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Solution

The fourth proportional to 13,430.78, 18,531.48 and 8,125.48 is: 11,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.78 : 18,531.48 = 8,125.48 : x
  2. Step 2: Convert to fraction form
    13,430.78/18,531.48 = 8,125.48/x
  3. Step 3: Cross multiply
    13,430.78x = 18,531.48 × 8,125.48
  4. Step 4: Simplify right side
    13,430.78x = 150,577,170.11
  5. Step 5: Solve for x
    x = 150,577,170.11/13,430.78
  6. Step 6: Final answer
    x = 11,211.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.