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Finding the Fourth Proportional to 13,774.42, 19,008.42 and 8,109.76

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Solution

The fourth proportional to 13,774.42, 19,008.42 and 8,109.76 is: 11,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.42 : 19,008.42 = 8,109.76 : x
  2. Step 2: Convert to fraction form
    13,774.42/19,008.42 = 8,109.76/x
  3. Step 3: Cross multiply
    13,774.42x = 19,008.42 × 8,109.76
  4. Step 4: Simplify right side
    13,774.42x = 154,153,724.18
  5. Step 5: Solve for x
    x = 154,153,724.18/13,774.42
  6. Step 6: Final answer
    x = 11,191.30

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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.