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Finding the Fourth Proportional to 11,522.22, 15,894.99 and 7,278.54

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Solution

The fourth proportional to 11,522.22, 15,894.99 and 7,278.54 is: 10,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.22 : 15,894.99 = 7,278.54 : x
  2. Step 2: Convert to fraction form
    11,522.22/15,894.99 = 7,278.54/x
  3. Step 3: Cross multiply
    11,522.22x = 15,894.99 × 7,278.54
  4. Step 4: Simplify right side
    11,522.22x = 115,692,320.51
  5. Step 5: Solve for x
    x = 115,692,320.51/11,522.22
  6. Step 6: Final answer
    x = 10,040.80

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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.