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Finding the Fourth Proportional to 19,869.66, 29,814.94 and 8,784

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Solution

The fourth proportional to 19,869.66, 29,814.94 and 8,784 is: 13,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,869.66 : 29,814.94 = 8,784 : x
  2. Step 2: Convert to fraction form
    19,869.66/29,814.94 = 8,784/x
  3. Step 3: Cross multiply
    19,869.66x = 29,814.94 × 8,784
  4. Step 4: Simplify right side
    19,869.66x = 261,894,432.96
  5. Step 5: Solve for x
    x = 261,894,432.96/19,869.66
  6. Step 6: Final answer
    x = 13,180.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.