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Finding the Fourth Proportional to 3,320, 4,980.12 and 1,011.52

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Solution

The fourth proportional to 3,320, 4,980.12 and 1,011.52 is: 1,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320 : 4,980.12 = 1,011.52 : x
  2. Step 2: Convert to fraction form
    3,320/4,980.12 = 1,011.52/x
  3. Step 3: Cross multiply
    3,320x = 4,980.12 × 1,011.52
  4. Step 4: Simplify right side
    3,320x = 5,037,490.98
  5. Step 5: Solve for x
    x = 5,037,490.98/3,320
  6. Step 6: Final answer
    x = 1,517.32

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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.