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Finding the Fourth Proportional to 1,898.32, 2,847.60 and 511.68

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Solution

The fourth proportional to 1,898.32, 2,847.60 and 511.68 is: 767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.32 : 2,847.60 = 511.68 : x
  2. Step 2: Convert to fraction form
    1,898.32/2,847.60 = 511.68/x
  3. Step 3: Cross multiply
    1,898.32x = 2,847.60 × 511.68
  4. Step 4: Simplify right side
    1,898.32x = 1,457,059.97
  5. Step 5: Solve for x
    x = 1,457,059.97/1,898.32
  6. Step 6: Final answer
    x = 767.55

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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.