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Finding the Fourth Proportional to 7,003, 9,664.14 and 3,859.48

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Solution

The fourth proportional to 7,003, 9,664.14 and 3,859.48 is: 5,326.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003 : 9,664.14 = 3,859.48 : x
  2. Step 2: Convert to fraction form
    7,003/9,664.14 = 3,859.48/x
  3. Step 3: Cross multiply
    7,003x = 9,664.14 × 3,859.48
  4. Step 4: Simplify right side
    7,003x = 37,298,555.05
  5. Step 5: Solve for x
    x = 37,298,555.05/7,003
  6. Step 6: Final answer
    x = 5,326.08

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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.