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Finding the Fourth Proportional to 19,854.10, 29,769 and 8,013.32

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Solution

The fourth proportional to 19,854.10, 29,769 and 8,013.32 is: 12,015.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.10 : 29,769 = 8,013.32 : x
  2. Step 2: Convert to fraction form
    19,854.10/29,769 = 8,013.32/x
  3. Step 3: Cross multiply
    19,854.10x = 29,769 × 8,013.32
  4. Step 4: Simplify right side
    19,854.10x = 238,548,523.08
  5. Step 5: Solve for x
    x = 238,548,523.08/19,854.10
  6. Step 6: Final answer
    x = 12,015.08

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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.