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Finding the Fourth Proportional to 2,146.84, 3,220.26 and 993.40

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Solution

The fourth proportional to 2,146.84, 3,220.26 and 993.40 is: 1,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.84 : 3,220.26 = 993.40 : x
  2. Step 2: Convert to fraction form
    2,146.84/3,220.26 = 993.40/x
  3. Step 3: Cross multiply
    2,146.84x = 3,220.26 × 993.40
  4. Step 4: Simplify right side
    2,146.84x = 3,199,006.28
  5. Step 5: Solve for x
    x = 3,199,006.28/2,146.84
  6. Step 6: Final answer
    x = 1,490.10

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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.