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Finding the Fourth Proportional to 7,007.61, 9,670.50 and 3,863.85

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Solution

The fourth proportional to 7,007.61, 9,670.50 and 3,863.85 is: 5,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.61 : 9,670.50 = 3,863.85 : x
  2. Step 2: Convert to fraction form
    7,007.61/9,670.50 = 3,863.85/x
  3. Step 3: Cross multiply
    7,007.61x = 9,670.50 × 3,863.85
  4. Step 4: Simplify right side
    7,007.61x = 37,365,361.43
  5. Step 5: Solve for x
    x = 37,365,361.43/7,007.61
  6. Step 6: Final answer
    x = 5,332.11

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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.