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Finding the Fourth Proportional to 2,765.76, 4,150.53 and 1,898.52

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Solution

The fourth proportional to 2,765.76, 4,150.53 and 1,898.52 is: 2,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.76 : 4,150.53 = 1,898.52 : x
  2. Step 2: Convert to fraction form
    2,765.76/4,150.53 = 1,898.52/x
  3. Step 3: Cross multiply
    2,765.76x = 4,150.53 × 1,898.52
  4. Step 4: Simplify right side
    2,765.76x = 7,879,864.22
  5. Step 5: Solve for x
    x = 7,879,864.22/2,765.76
  6. Step 6: Final answer
    x = 2,849.08

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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.