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Finding the Fourth Proportional to 7,004.64, 10,507.64 and 3,305.88

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Solution

The fourth proportional to 7,004.64, 10,507.64 and 3,305.88 is: 4,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.64 : 10,507.64 = 3,305.88 : x
  2. Step 2: Convert to fraction form
    7,004.64/10,507.64 = 3,305.88/x
  3. Step 3: Cross multiply
    7,004.64x = 10,507.64 × 3,305.88
  4. Step 4: Simplify right side
    7,004.64x = 34,736,996.92
  5. Step 5: Solve for x
    x = 34,736,996.92/7,004.64
  6. Step 6: Final answer
    x = 4,959.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.