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Finding the Fourth Proportional to 14,942, 20,621.40 and 8,318

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Solution

The fourth proportional to 14,942, 20,621.40 and 8,318 is: 11,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,942 : 20,621.40 = 8,318 : x
  2. Step 2: Convert to fraction form
    14,942/20,621.40 = 8,318/x
  3. Step 3: Cross multiply
    14,942x = 20,621.40 × 8,318
  4. Step 4: Simplify right side
    14,942x = 171,528,805.20
  5. Step 5: Solve for x
    x = 171,528,805.20/14,942
  6. Step 6: Final answer
    x = 11,479.64

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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.