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Finding the Fourth Proportional to 13,771.53, 19,006.44 and 7,805.13

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Solution

The fourth proportional to 13,771.53, 19,006.44 and 7,805.13 is: 10,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.53 : 19,006.44 = 7,805.13 : x
  2. Step 2: Convert to fraction form
    13,771.53/19,006.44 = 7,805.13/x
  3. Step 3: Cross multiply
    13,771.53x = 19,006.44 × 7,805.13
  4. Step 4: Simplify right side
    13,771.53x = 148,347,735.04
  5. Step 5: Solve for x
    x = 148,347,735.04/13,771.53
  6. Step 6: Final answer
    x = 10,772.06

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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.