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Finding the Fourth Proportional to 16,405, 24,607.50 and 5,320.96

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Solution

The fourth proportional to 16,405, 24,607.50 and 5,320.96 is: 7,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405 : 24,607.50 = 5,320.96 : x
  2. Step 2: Convert to fraction form
    16,405/24,607.50 = 5,320.96/x
  3. Step 3: Cross multiply
    16,405x = 24,607.50 × 5,320.96
  4. Step 4: Simplify right side
    16,405x = 130,935,523.20
  5. Step 5: Solve for x
    x = 130,935,523.20/16,405
  6. Step 6: Final answer
    x = 7,981.44

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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.