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Finding the Fourth Proportional to 2,047.53, 3,071.89 and 660.84

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Solution

The fourth proportional to 2,047.53, 3,071.89 and 660.84 is: 991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.53 : 3,071.89 = 660.84 : x
  2. Step 2: Convert to fraction form
    2,047.53/3,071.89 = 660.84/x
  3. Step 3: Cross multiply
    2,047.53x = 3,071.89 × 660.84
  4. Step 4: Simplify right side
    2,047.53x = 2,030,027.79
  5. Step 5: Solve for x
    x = 2,030,027.79/2,047.53
  6. Step 6: Final answer
    x = 991.45

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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.