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Finding the Fourth Proportional to 14,940, 20,617.20 and 8,316

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Solution

The fourth proportional to 14,940, 20,617.20 and 8,316 is: 11,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,940 : 20,617.20 = 8,316 : x
  2. Step 2: Convert to fraction form
    14,940/20,617.20 = 8,316/x
  3. Step 3: Cross multiply
    14,940x = 20,617.20 × 8,316
  4. Step 4: Simplify right side
    14,940x = 171,452,635.20
  5. Step 5: Solve for x
    x = 171,452,635.20/14,940
  6. Step 6: Final answer
    x = 11,476.08

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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.