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Finding the Fourth Proportional to 19,812, 29,697.98 and 12,421.64

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Solution

The fourth proportional to 19,812, 29,697.98 and 12,421.64 is: 18,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,812 : 29,697.98 = 12,421.64 : x
  2. Step 2: Convert to fraction form
    19,812/29,697.98 = 12,421.64/x
  3. Step 3: Cross multiply
    19,812x = 29,697.98 × 12,421.64
  4. Step 4: Simplify right side
    19,812x = 368,897,616.29
  5. Step 5: Solve for x
    x = 368,897,616.29/19,812
  6. Step 6: Final answer
    x = 18,619.91

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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.