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Finding the Fourth Proportional to 2,146.10, 3,219.45 and 665.45

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Solution

The fourth proportional to 2,146.10, 3,219.45 and 665.45 is: 998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.10 : 3,219.45 = 665.45 : x
  2. Step 2: Convert to fraction form
    2,146.10/3,219.45 = 665.45/x
  3. Step 3: Cross multiply
    2,146.10x = 3,219.45 × 665.45
  4. Step 4: Simplify right side
    2,146.10x = 2,142,366.91
  5. Step 5: Solve for x
    x = 2,142,366.91/2,146.10
  6. Step 6: Final answer
    x = 998.26

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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.