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Finding the Fourth Proportional to 8,002.86, 12,005.67 and 3,004.80

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Solution

The fourth proportional to 8,002.86, 12,005.67 and 3,004.80 is: 4,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.86 : 12,005.67 = 3,004.80 : x
  2. Step 2: Convert to fraction form
    8,002.86/12,005.67 = 3,004.80/x
  3. Step 3: Cross multiply
    8,002.86x = 12,005.67 × 3,004.80
  4. Step 4: Simplify right side
    8,002.86x = 36,074,637.22
  5. Step 5: Solve for x
    x = 36,074,637.22/8,002.86
  6. Step 6: Final answer
    x = 4,507.72

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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.