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Finding the Fourth Proportional to 16,145.20, 24,220.64 and 7,381

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Solution

The fourth proportional to 16,145.20, 24,220.64 and 7,381 is: 11,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.20 : 24,220.64 = 7,381 : x
  2. Step 2: Convert to fraction form
    16,145.20/24,220.64 = 7,381/x
  3. Step 3: Cross multiply
    16,145.20x = 24,220.64 × 7,381
  4. Step 4: Simplify right side
    16,145.20x = 178,772,543.84
  5. Step 5: Solve for x
    x = 178,772,543.84/16,145.20
  6. Step 6: Final answer
    x = 11,072.80

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1.5x scale

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.