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Finding the Fourth Proportional to 8,419.05, 12,624.09 and 2,574.09

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Solution

The fourth proportional to 8,419.05, 12,624.09 and 2,574.09 is: 3,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.05 : 12,624.09 = 2,574.09 : x
  2. Step 2: Convert to fraction form
    8,419.05/12,624.09 = 2,574.09/x
  3. Step 3: Cross multiply
    8,419.05x = 12,624.09 × 2,574.09
  4. Step 4: Simplify right side
    8,419.05x = 32,495,543.83
  5. Step 5: Solve for x
    x = 32,495,543.83/8,419.05
  6. Step 6: Final answer
    x = 3,859.76

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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.