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Finding the Fourth Proportional to 14,992.61, 20,697.71 and 9,690.44

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Solution

The fourth proportional to 14,992.61, 20,697.71 and 9,690.44 is: 13,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,992.61 : 20,697.71 = 9,690.44 : x
  2. Step 2: Convert to fraction form
    14,992.61/20,697.71 = 9,690.44/x
  3. Step 3: Cross multiply
    14,992.61x = 20,697.71 × 9,690.44
  4. Step 4: Simplify right side
    14,992.61x = 200,569,764.95
  5. Step 5: Solve for x
    x = 200,569,764.95/14,992.61
  6. Step 6: Final answer
    x = 13,377.91

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Why These Related Problems?

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