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Finding the Fourth Proportional to 2,705.76, 4,056.41 and 1,146.99

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Solution

The fourth proportional to 2,705.76, 4,056.41 and 1,146.99 is: 1,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.76 : 4,056.41 = 1,146.99 : x
  2. Step 2: Convert to fraction form
    2,705.76/4,056.41 = 1,146.99/x
  3. Step 3: Cross multiply
    2,705.76x = 4,056.41 × 1,146.99
  4. Step 4: Simplify right side
    2,705.76x = 4,652,655.97
  5. Step 5: Solve for x
    x = 4,652,655.97/2,705.76
  6. Step 6: Final answer
    x = 1,719.54

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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.