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Finding the Fourth Proportional to 29,770, 44,641.62 and 21,415

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Solution

The fourth proportional to 29,770, 44,641.62 and 21,415 is: 32,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770 : 44,641.62 = 21,415 : x
  2. Step 2: Convert to fraction form
    29,770/44,641.62 = 21,415/x
  3. Step 3: Cross multiply
    29,770x = 44,641.62 × 21,415
  4. Step 4: Simplify right side
    29,770x = 956,000,292.30
  5. Step 5: Solve for x
    x = 956,000,292.30/29,770
  6. Step 6: Final answer
    x = 32,112.88

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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.