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Finding the Fourth Proportional to 13,575.78, 18,734.55 and 8,270.59

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Solution

The fourth proportional to 13,575.78, 18,734.55 and 8,270.59 is: 11,413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.78 : 18,734.55 = 8,270.59 : x
  2. Step 2: Convert to fraction form
    13,575.78/18,734.55 = 8,270.59/x
  3. Step 3: Cross multiply
    13,575.78x = 18,734.55 × 8,270.59
  4. Step 4: Simplify right side
    13,575.78x = 154,945,774.29
  5. Step 5: Solve for x
    x = 154,945,774.29/13,575.78
  6. Step 6: Final answer
    x = 11,413.40

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1.5x scale

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.