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Finding the Fourth Proportional to 2,120.24, 3,180.36 and 659

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Solution

The fourth proportional to 2,120.24, 3,180.36 and 659 is: 988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.24 : 3,180.36 = 659 : x
  2. Step 2: Convert to fraction form
    2,120.24/3,180.36 = 659/x
  3. Step 3: Cross multiply
    2,120.24x = 3,180.36 × 659
  4. Step 4: Simplify right side
    2,120.24x = 2,095,857.24
  5. Step 5: Solve for x
    x = 2,095,857.24/2,120.24
  6. Step 6: Final answer
    x = 988.50

Related Problems

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Double scale
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Similar ratio
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1.5x scale

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.