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Finding the Fourth Proportional to 8,419.50, 12,630.87 and 3,802.50

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Solution

The fourth proportional to 8,419.50, 12,630.87 and 3,802.50 is: 5,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.50 : 12,630.87 = 3,802.50 : x
  2. Step 2: Convert to fraction form
    8,419.50/12,630.87 = 3,802.50/x
  3. Step 3: Cross multiply
    8,419.50x = 12,630.87 × 3,802.50
  4. Step 4: Simplify right side
    8,419.50x = 48,028,883.18
  5. Step 5: Solve for x
    x = 48,028,883.18/8,419.50
  6. Step 6: Final answer
    x = 5,704.48

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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.