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Finding the Fourth Proportional to 3,741.98, 5,610.74 and 1,549.50

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Solution

The fourth proportional to 3,741.98, 5,610.74 and 1,549.50 is: 2,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.98 : 5,610.74 = 1,549.50 : x
  2. Step 2: Convert to fraction form
    3,741.98/5,610.74 = 1,549.50/x
  3. Step 3: Cross multiply
    3,741.98x = 5,610.74 × 1,549.50
  4. Step 4: Simplify right side
    3,741.98x = 8,693,841.63
  5. Step 5: Solve for x
    x = 8,693,841.63/3,741.98
  6. Step 6: Final answer
    x = 2,323.33

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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.