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Finding the Fourth Proportional to 8,242.74, 12,366.09 and 2,399.40

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Solution

The fourth proportional to 8,242.74, 12,366.09 and 2,399.40 is: 3,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.74 : 12,366.09 = 2,399.40 : x
  2. Step 2: Convert to fraction form
    8,242.74/12,366.09 = 2,399.40/x
  3. Step 3: Cross multiply
    8,242.74x = 12,366.09 × 2,399.40
  4. Step 4: Simplify right side
    8,242.74x = 29,671,196.35
  5. Step 5: Solve for x
    x = 29,671,196.35/8,242.74
  6. Step 6: Final answer
    x = 3,599.68

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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.