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Finding the Fourth Proportional to 14,421.46, 19,901 and 8,134.42

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Solution

The fourth proportional to 14,421.46, 19,901 and 8,134.42 is: 11,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.46 : 19,901 = 8,134.42 : x
  2. Step 2: Convert to fraction form
    14,421.46/19,901 = 8,134.42/x
  3. Step 3: Cross multiply
    14,421.46x = 19,901 × 8,134.42
  4. Step 4: Simplify right side
    14,421.46x = 161,883,092.42
  5. Step 5: Solve for x
    x = 161,883,092.42/14,421.46
  6. Step 6: Final answer
    x = 11,225.15

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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.