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Finding the Fourth Proportional to 2,146.98, 3,220.74 and 741.27

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Solution

The fourth proportional to 2,146.98, 3,220.74 and 741.27 is: 1,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.98 : 3,220.74 = 741.27 : x
  2. Step 2: Convert to fraction form
    2,146.98/3,220.74 = 741.27/x
  3. Step 3: Cross multiply
    2,146.98x = 3,220.74 × 741.27
  4. Step 4: Simplify right side
    2,146.98x = 2,387,437.94
  5. Step 5: Solve for x
    x = 2,387,437.94/2,146.98
  6. Step 6: Final answer
    x = 1,112.00

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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.