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Finding the Fourth Proportional to 12,874.45, 17,769.06 and 7,569.55

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Solution

The fourth proportional to 12,874.45, 17,769.06 and 7,569.55 is: 10,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.45 : 17,769.06 = 7,569.55 : x
  2. Step 2: Convert to fraction form
    12,874.45/17,769.06 = 7,569.55/x
  3. Step 3: Cross multiply
    12,874.45x = 17,769.06 × 7,569.55
  4. Step 4: Simplify right side
    12,874.45x = 134,503,788.12
  5. Step 5: Solve for x
    x = 134,503,788.12/12,874.45
  6. Step 6: Final answer
    x = 10,447.34

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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.