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Finding the Fourth Proportional to 14,177.90, 19,566.36 and 8,211.44

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Solution

The fourth proportional to 14,177.90, 19,566.36 and 8,211.44 is: 11,332.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.90 : 19,566.36 = 8,211.44 : x
  2. Step 2: Convert to fraction form
    14,177.90/19,566.36 = 8,211.44/x
  3. Step 3: Cross multiply
    14,177.90x = 19,566.36 × 8,211.44
  4. Step 4: Simplify right side
    14,177.90x = 160,668,040.07
  5. Step 5: Solve for x
    x = 160,668,040.07/14,177.90
  6. Step 6: Final answer
    x = 11,332.29

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