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Finding the Fourth Proportional to 8,002.20, 12,001.70 and 3,842.20

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Solution

The fourth proportional to 8,002.20, 12,001.70 and 3,842.20 is: 5,762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.20 : 12,001.70 = 3,842.20 : x
  2. Step 2: Convert to fraction form
    8,002.20/12,001.70 = 3,842.20/x
  3. Step 3: Cross multiply
    8,002.20x = 12,001.70 × 3,842.20
  4. Step 4: Simplify right side
    8,002.20x = 46,112,931.74
  5. Step 5: Solve for x
    x = 46,112,931.74/8,002.20
  6. Step 6: Final answer
    x = 5,762.53

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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.