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Finding the Fourth Proportional to 7,007.64, 9,670.62 and 3,820.91

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Solution

The fourth proportional to 7,007.64, 9,670.62 and 3,820.91 is: 5,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.64 : 9,670.62 = 3,820.91 : x
  2. Step 2: Convert to fraction form
    7,007.64/9,670.62 = 3,820.91/x
  3. Step 3: Cross multiply
    7,007.64x = 9,670.62 × 3,820.91
  4. Step 4: Simplify right side
    7,007.64x = 36,950,568.66
  5. Step 5: Solve for x
    x = 36,950,568.66/7,007.64
  6. Step 6: Final answer
    x = 5,272.90

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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.