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Finding the Fourth Proportional to 2,745.82, 4,117.70 and 990.35

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Solution

The fourth proportional to 2,745.82, 4,117.70 and 990.35 is: 1,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.82 : 4,117.70 = 990.35 : x
  2. Step 2: Convert to fraction form
    2,745.82/4,117.70 = 990.35/x
  3. Step 3: Cross multiply
    2,745.82x = 4,117.70 × 990.35
  4. Step 4: Simplify right side
    2,745.82x = 4,077,964.20
  5. Step 5: Solve for x
    x = 4,077,964.20/2,745.82
  6. Step 6: Final answer
    x = 1,485.15

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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.