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Finding the Fourth Proportional to 14,404.71, 19,880.11 and 8,031.88

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Solution

The fourth proportional to 14,404.71, 19,880.11 and 8,031.88 is: 11,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,404.71 : 19,880.11 = 8,031.88 : x
  2. Step 2: Convert to fraction form
    14,404.71/19,880.11 = 8,031.88/x
  3. Step 3: Cross multiply
    14,404.71x = 19,880.11 × 8,031.88
  4. Step 4: Simplify right side
    14,404.71x = 159,674,657.91
  5. Step 5: Solve for x
    x = 159,674,657.91/14,404.71
  6. Step 6: Final answer
    x = 11,084.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.