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Finding the Fourth Proportional to 53,152, 79,728 and 21,988

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Solution

The fourth proportional to 53,152, 79,728 and 21,988 is: 32,982

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,152 : 79,728 = 21,988 : x
  2. Step 2: Convert to fraction form
    53,152/79,728 = 21,988/x
  3. Step 3: Cross multiply
    53,152x = 79,728 × 21,988
  4. Step 4: Simplify right side
    53,152x = 1,753,059,264
  5. Step 5: Solve for x
    x = 1,753,059,264/53,152
  6. Step 6: Final answer
    x = 32,982

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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.