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Finding the Fourth Proportional to 8,003.80, 11,981.40 and 4,707.10

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Solution

The fourth proportional to 8,003.80, 11,981.40 and 4,707.10 is: 7,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.80 : 11,981.40 = 4,707.10 : x
  2. Step 2: Convert to fraction form
    8,003.80/11,981.40 = 4,707.10/x
  3. Step 3: Cross multiply
    8,003.80x = 11,981.40 × 4,707.10
  4. Step 4: Simplify right side
    8,003.80x = 56,397,647.94
  5. Step 5: Solve for x
    x = 56,397,647.94/8,003.80
  6. Step 6: Final answer
    x = 7,046.36

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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.