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Finding the Fourth Proportional to 14,234.86, 19,643 and 8,266.98

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Solution

The fourth proportional to 14,234.86, 19,643 and 8,266.98 is: 11,407.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.86 : 19,643 = 8,266.98 : x
  2. Step 2: Convert to fraction form
    14,234.86/19,643 = 8,266.98/x
  3. Step 3: Cross multiply
    14,234.86x = 19,643 × 8,266.98
  4. Step 4: Simplify right side
    14,234.86x = 162,388,288.14
  5. Step 5: Solve for x
    x = 162,388,288.14/14,234.86
  6. Step 6: Final answer
    x = 11,407.79

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1.5x scale

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.