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Finding the Fourth Proportional to 7,007, 9,670.35 and 3,863.19

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Solution

The fourth proportional to 7,007, 9,670.35 and 3,863.19 is: 5,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007 : 9,670.35 = 3,863.19 : x
  2. Step 2: Convert to fraction form
    7,007/9,670.35 = 3,863.19/x
  3. Step 3: Cross multiply
    7,007x = 9,670.35 × 3,863.19
  4. Step 4: Simplify right side
    7,007x = 37,358,380.10
  5. Step 5: Solve for x
    x = 37,358,380.10/7,007
  6. Step 6: Final answer
    x = 5,331.58

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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.