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Finding the Fourth Proportional to 8,055.12, 12,083.78 and 7,569.12

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Solution

The fourth proportional to 8,055.12, 12,083.78 and 7,569.12 is: 11,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,055.12 : 12,083.78 = 7,569.12 : x
  2. Step 2: Convert to fraction form
    8,055.12/12,083.78 = 7,569.12/x
  3. Step 3: Cross multiply
    8,055.12x = 12,083.78 × 7,569.12
  4. Step 4: Simplify right side
    8,055.12x = 91,463,580.87
  5. Step 5: Solve for x
    x = 91,463,580.87/8,055.12
  6. Step 6: Final answer
    x = 11,354.71

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1.5x scale

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.