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Finding the Fourth Proportional to 14,239, 19,649.82 and 7,951.42

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Solution

The fourth proportional to 14,239, 19,649.82 and 7,951.42 is: 10,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,239 : 19,649.82 = 7,951.42 : x
  2. Step 2: Convert to fraction form
    14,239/19,649.82 = 7,951.42/x
  3. Step 3: Cross multiply
    14,239x = 19,649.82 × 7,951.42
  4. Step 4: Simplify right side
    14,239x = 156,243,971.74
  5. Step 5: Solve for x
    x = 156,243,971.74/14,239
  6. Step 6: Final answer
    x = 10,972.96

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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.