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Finding the Fourth Proportional to 16,158.40, 24,234.40 and 7,838.40

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Solution

The fourth proportional to 16,158.40, 24,234.40 and 7,838.40 is: 11,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158.40 : 24,234.40 = 7,838.40 : x
  2. Step 2: Convert to fraction form
    16,158.40/24,234.40 = 7,838.40/x
  3. Step 3: Cross multiply
    16,158.40x = 24,234.40 × 7,838.40
  4. Step 4: Simplify right side
    16,158.40x = 189,958,920.96
  5. Step 5: Solve for x
    x = 189,958,920.96/16,158.40
  6. Step 6: Final answer
    x = 11,756.05

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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.