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Finding the Fourth Proportional to 19,972, 29,958 and 5,380

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Solution

The fourth proportional to 19,972, 29,958 and 5,380 is: 8,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,972 : 29,958 = 5,380 : x
  2. Step 2: Convert to fraction form
    19,972/29,958 = 5,380/x
  3. Step 3: Cross multiply
    19,972x = 29,958 × 5,380
  4. Step 4: Simplify right side
    19,972x = 161,174,040
  5. Step 5: Solve for x
    x = 161,174,040/19,972
  6. Step 6: Final answer
    x = 8,070

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.