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Finding the Fourth Proportional to 29,768, 41,079.84 and 16,520

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Solution

The fourth proportional to 29,768, 41,079.84 and 16,520 is: 22,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,768 : 41,079.84 = 16,520 : x
  2. Step 2: Convert to fraction form
    29,768/41,079.84 = 16,520/x
  3. Step 3: Cross multiply
    29,768x = 41,079.84 × 16,520
  4. Step 4: Simplify right side
    29,768x = 678,638,956.80
  5. Step 5: Solve for x
    x = 678,638,956.80/29,768
  6. Step 6: Final answer
    x = 22,797.60

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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.