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Finding the Fourth Proportional to 13,757.60, 18,985.89 and 7,789.11

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Solution

The fourth proportional to 13,757.60, 18,985.89 and 7,789.11 is: 10,749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,757.60 : 18,985.89 = 7,789.11 : x
  2. Step 2: Convert to fraction form
    13,757.60/18,985.89 = 7,789.11/x
  3. Step 3: Cross multiply
    13,757.60x = 18,985.89 × 7,789.11
  4. Step 4: Simplify right side
    13,757.60x = 147,883,250.47
  5. Step 5: Solve for x
    x = 147,883,250.47/13,757.60
  6. Step 6: Final answer
    x = 10,749.21

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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.