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Finding the Fourth Proportional to 13,157.70, 18,138.74 and 8,118.51

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Solution

The fourth proportional to 13,157.70, 18,138.74 and 8,118.51 is: 11,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.70 : 18,138.74 = 8,118.51 : x
  2. Step 2: Convert to fraction form
    13,157.70/18,138.74 = 8,118.51/x
  3. Step 3: Cross multiply
    13,157.70x = 18,138.74 × 8,118.51
  4. Step 4: Simplify right side
    13,157.70x = 147,259,501.48
  5. Step 5: Solve for x
    x = 147,259,501.48/13,157.70
  6. Step 6: Final answer
    x = 11,191.89

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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.