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Finding the Fourth Proportional to 8,404.74, 12,607.14 and 3,782.34

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Solution

The fourth proportional to 8,404.74, 12,607.14 and 3,782.34 is: 5,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.74 : 12,607.14 = 3,782.34 : x
  2. Step 2: Convert to fraction form
    8,404.74/12,607.14 = 3,782.34/x
  3. Step 3: Cross multiply
    8,404.74x = 12,607.14 × 3,782.34
  4. Step 4: Simplify right side
    8,404.74x = 47,684,489.91
  5. Step 5: Solve for x
    x = 47,684,489.91/8,404.74
  6. Step 6: Final answer
    x = 5,673.52

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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.