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Finding the Fourth Proportional to 7,003.02, 9,664.62 and 3,859.20

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Solution

The fourth proportional to 7,003.02, 9,664.62 and 3,859.20 is: 5,325.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.02 : 9,664.62 = 3,859.20 : x
  2. Step 2: Convert to fraction form
    7,003.02/9,664.62 = 3,859.20/x
  3. Step 3: Cross multiply
    7,003.02x = 9,664.62 × 3,859.20
  4. Step 4: Simplify right side
    7,003.02x = 37,297,701.50
  5. Step 5: Solve for x
    x = 37,297,701.50/7,003.02
  6. Step 6: Final answer
    x = 5,325.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.