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Finding the Fourth Proportional to 13,522.80, 18,661.02 and 7,858.02

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Solution

The fourth proportional to 13,522.80, 18,661.02 and 7,858.02 is: 10,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.80 : 18,661.02 = 7,858.02 : x
  2. Step 2: Convert to fraction form
    13,522.80/18,661.02 = 7,858.02/x
  3. Step 3: Cross multiply
    13,522.80x = 18,661.02 × 7,858.02
  4. Step 4: Simplify right side
    13,522.80x = 146,638,668.38
  5. Step 5: Solve for x
    x = 146,638,668.38/13,522.80
  6. Step 6: Final answer
    x = 10,843.81

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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.