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Finding the Fourth Proportional to 16,391, 24,586.59 and 4,079

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Solution

The fourth proportional to 16,391, 24,586.59 and 4,079 is: 6,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,391 : 24,586.59 = 4,079 : x
  2. Step 2: Convert to fraction form
    16,391/24,586.59 = 4,079/x
  3. Step 3: Cross multiply
    16,391x = 24,586.59 × 4,079
  4. Step 4: Simplify right side
    16,391x = 100,288,700.61
  5. Step 5: Solve for x
    x = 100,288,700.61/16,391
  6. Step 6: Final answer
    x = 6,118.52

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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.