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Finding the Fourth Proportional to 2,798.34, 3,861.90 and 1,852.50

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Solution

The fourth proportional to 2,798.34, 3,861.90 and 1,852.50 is: 2,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.34 : 3,861.90 = 1,852.50 : x
  2. Step 2: Convert to fraction form
    2,798.34/3,861.90 = 1,852.50/x
  3. Step 3: Cross multiply
    2,798.34x = 3,861.90 × 1,852.50
  4. Step 4: Simplify right side
    2,798.34x = 7,154,169.75
  5. Step 5: Solve for x
    x = 7,154,169.75/2,798.34
  6. Step 6: Final answer
    x = 2,556.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.