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Finding the Fourth Proportional to 2,047.10, 3,071.08 and 660.51

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Solution

The fourth proportional to 2,047.10, 3,071.08 and 660.51 is: 990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.10 : 3,071.08 = 660.51 : x
  2. Step 2: Convert to fraction form
    2,047.10/3,071.08 = 660.51/x
  3. Step 3: Cross multiply
    2,047.10x = 3,071.08 × 660.51
  4. Step 4: Simplify right side
    2,047.10x = 2,028,479.05
  5. Step 5: Solve for x
    x = 2,028,479.05/2,047.10
  6. Step 6: Final answer
    x = 990.91

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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.