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Finding the Fourth Proportional to 2,981.56, 4,468.56 and 1,683.76

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Solution

The fourth proportional to 2,981.56, 4,468.56 and 1,683.76 is: 2,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.56 : 4,468.56 = 1,683.76 : x
  2. Step 2: Convert to fraction form
    2,981.56/4,468.56 = 1,683.76/x
  3. Step 3: Cross multiply
    2,981.56x = 4,468.56 × 1,683.76
  4. Step 4: Simplify right side
    2,981.56x = 7,523,982.59
  5. Step 5: Solve for x
    x = 7,523,982.59/2,981.56
  6. Step 6: Final answer
    x = 2,523.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.