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Finding the Fourth Proportional to 3,309.88, 4,964.73 and 1,530.70

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Solution

The fourth proportional to 3,309.88, 4,964.73 and 1,530.70 is: 2,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.88 : 4,964.73 = 1,530.70 : x
  2. Step 2: Convert to fraction form
    3,309.88/4,964.73 = 1,530.70/x
  3. Step 3: Cross multiply
    3,309.88x = 4,964.73 × 1,530.70
  4. Step 4: Simplify right side
    3,309.88x = 7,599,512.21
  5. Step 5: Solve for x
    x = 7,599,512.21/3,309.88
  6. Step 6: Final answer
    x = 2,296.01

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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.