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Finding the Fourth Proportional to 2,798.38, 3,859.95 and 1,748.62

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Solution

The fourth proportional to 2,798.38, 3,859.95 and 1,748.62 is: 2,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.38 : 3,859.95 = 1,748.62 : x
  2. Step 2: Convert to fraction form
    2,798.38/3,859.95 = 1,748.62/x
  3. Step 3: Cross multiply
    2,798.38x = 3,859.95 × 1,748.62
  4. Step 4: Simplify right side
    2,798.38x = 6,749,585.77
  5. Step 5: Solve for x
    x = 6,749,585.77/2,798.38
  6. Step 6: Final answer
    x = 2,411.96

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1.5x scale

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.