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Finding the Fourth Proportional to 13,157.82, 18,159.82 and 8,056.34

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Solution

The fourth proportional to 13,157.82, 18,159.82 and 8,056.34 is: 11,118.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.82 : 18,159.82 = 8,056.34 : x
  2. Step 2: Convert to fraction form
    13,157.82/18,159.82 = 8,056.34/x
  3. Step 3: Cross multiply
    13,157.82x = 18,159.82 × 8,056.34
  4. Step 4: Simplify right side
    13,157.82x = 146,301,684.26
  5. Step 5: Solve for x
    x = 146,301,684.26/13,157.82
  6. Step 6: Final answer
    x = 11,118.99

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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.