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Finding the Fourth Proportional to 14,031.78, 19,364.81 and 8,065.83

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Solution

The fourth proportional to 14,031.78, 19,364.81 and 8,065.83 is: 11,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031.78 : 19,364.81 = 8,065.83 : x
  2. Step 2: Convert to fraction form
    14,031.78/19,364.81 = 8,065.83/x
  3. Step 3: Cross multiply
    14,031.78x = 19,364.81 × 8,065.83
  4. Step 4: Simplify right side
    14,031.78x = 156,193,225.11
  5. Step 5: Solve for x
    x = 156,193,225.11/14,031.78
  6. Step 6: Final answer
    x = 11,131.39

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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.