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Finding the Fourth Proportional to 14,371.88, 19,835.01 and 8,085.47

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Solution

The fourth proportional to 14,371.88, 19,835.01 and 8,085.47 is: 11,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371.88 : 19,835.01 = 8,085.47 : x
  2. Step 2: Convert to fraction form
    14,371.88/19,835.01 = 8,085.47/x
  3. Step 3: Cross multiply
    14,371.88x = 19,835.01 × 8,085.47
  4. Step 4: Simplify right side
    14,371.88x = 160,375,279.13
  5. Step 5: Solve for x
    x = 160,375,279.13/14,371.88
  6. Step 6: Final answer
    x = 11,158.97

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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.