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Finding the Fourth Proportional to 9,078.09, 12,522.09 and 5,715.09

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Solution

The fourth proportional to 9,078.09, 12,522.09 and 5,715.09 is: 7,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.09 : 12,522.09 = 5,715.09 : x
  2. Step 2: Convert to fraction form
    9,078.09/12,522.09 = 5,715.09/x
  3. Step 3: Cross multiply
    9,078.09x = 12,522.09 × 5,715.09
  4. Step 4: Simplify right side
    9,078.09x = 71,564,871.34
  5. Step 5: Solve for x
    x = 71,564,871.34/9,078.09
  6. Step 6: Final answer
    x = 7,883.25

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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.