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Finding the Fourth Proportional to 2,744.91, 4,117.42 and 990.05

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Solution

The fourth proportional to 2,744.91, 4,117.42 and 990.05 is: 1,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.91 : 4,117.42 = 990.05 : x
  2. Step 2: Convert to fraction form
    2,744.91/4,117.42 = 990.05/x
  3. Step 3: Cross multiply
    2,744.91x = 4,117.42 × 990.05
  4. Step 4: Simplify right side
    2,744.91x = 4,076,463.20
  5. Step 5: Solve for x
    x = 4,076,463.20/2,744.91
  6. Step 6: Final answer
    x = 1,485.10

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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.