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Finding the Fourth Proportional to 13,774.55, 19,009.46 and 8,471.12

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Solution

The fourth proportional to 13,774.55, 19,009.46 and 8,471.12 is: 11,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.55 : 19,009.46 = 8,471.12 : x
  2. Step 2: Convert to fraction form
    13,774.55/19,009.46 = 8,471.12/x
  3. Step 3: Cross multiply
    13,774.55x = 19,009.46 × 8,471.12
  4. Step 4: Simplify right side
    13,774.55x = 161,031,342.93
  5. Step 5: Solve for x
    x = 161,031,342.93/13,774.55
  6. Step 6: Final answer
    x = 11,690.50

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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.