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Finding the Fourth Proportional to 13,771.42, 19,006.18 and 8,182.42

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Solution

The fourth proportional to 13,771.42, 19,006.18 and 8,182.42 is: 11,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.42 : 19,006.18 = 8,182.42 : x
  2. Step 2: Convert to fraction form
    13,771.42/19,006.18 = 8,182.42/x
  3. Step 3: Cross multiply
    13,771.42x = 19,006.18 × 8,182.42
  4. Step 4: Simplify right side
    13,771.42x = 155,516,479.38
  5. Step 5: Solve for x
    x = 155,516,479.38/13,771.42
  6. Step 6: Final answer
    x = 11,292.70

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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.