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Finding the Fourth Proportional to 8,274.86, 12,419.58 and 6,977.24

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Solution

The fourth proportional to 8,274.86, 12,419.58 and 6,977.24 is: 10,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.86 : 12,419.58 = 6,977.24 : x
  2. Step 2: Convert to fraction form
    8,274.86/12,419.58 = 6,977.24/x
  3. Step 3: Cross multiply
    8,274.86x = 12,419.58 × 6,977.24
  4. Step 4: Simplify right side
    8,274.86x = 86,654,390.36
  5. Step 5: Solve for x
    x = 86,654,390.36/8,274.86
  6. Step 6: Final answer
    x = 10,472.01

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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.