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Finding the Fourth Proportional to 14,369.40, 19,829.70 and 8,081.82

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Solution

The fourth proportional to 14,369.40, 19,829.70 and 8,081.82 is: 11,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.40 : 19,829.70 = 8,081.82 : x
  2. Step 2: Convert to fraction form
    14,369.40/19,829.70 = 8,081.82/x
  3. Step 3: Cross multiply
    14,369.40x = 19,829.70 × 8,081.82
  4. Step 4: Simplify right side
    14,369.40x = 160,260,066.05
  5. Step 5: Solve for x
    x = 160,260,066.05/14,369.40
  6. Step 6: Final answer
    x = 11,152.87

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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.