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Finding the Fourth Proportional to 2,047.58, 3,071.64 and 660.45

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Solution

The fourth proportional to 2,047.58, 3,071.64 and 660.45 is: 990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.58 : 3,071.64 = 660.45 : x
  2. Step 2: Convert to fraction form
    2,047.58/3,071.64 = 660.45/x
  3. Step 3: Cross multiply
    2,047.58x = 3,071.64 × 660.45
  4. Step 4: Simplify right side
    2,047.58x = 2,028,664.64
  5. Step 5: Solve for x
    x = 2,028,664.64/2,047.58
  6. Step 6: Final answer
    x = 990.76

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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.