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Finding the Fourth Proportional to 19,807.68, 29,715.52 and 8,121.84

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Solution

The fourth proportional to 19,807.68, 29,715.52 and 8,121.84 is: 12,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.68 : 29,715.52 = 8,121.84 : x
  2. Step 2: Convert to fraction form
    19,807.68/29,715.52 = 8,121.84/x
  3. Step 3: Cross multiply
    19,807.68x = 29,715.52 × 8,121.84
  4. Step 4: Simplify right side
    19,807.68x = 241,344,698.96
  5. Step 5: Solve for x
    x = 241,344,698.96/19,807.68
  6. Step 6: Final answer
    x = 12,184.40

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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.