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Finding the Fourth Proportional to 7,007.76, 9,670.68 and 3,864

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Solution

The fourth proportional to 7,007.76, 9,670.68 and 3,864 is: 5,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.76 : 9,670.68 = 3,864 : x
  2. Step 2: Convert to fraction form
    7,007.76/9,670.68 = 3,864/x
  3. Step 3: Cross multiply
    7,007.76x = 9,670.68 × 3,864
  4. Step 4: Simplify right side
    7,007.76x = 37,367,507.52
  5. Step 5: Solve for x
    x = 37,367,507.52/7,007.76
  6. Step 6: Final answer
    x = 5,332.30

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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.