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Finding the Fourth Proportional to 2,798.40, 3,864.60 and 2,305.92

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Solution

The fourth proportional to 2,798.40, 3,864.60 and 2,305.92 is: 3,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.40 : 3,864.60 = 2,305.92 : x
  2. Step 2: Convert to fraction form
    2,798.40/3,864.60 = 2,305.92/x
  3. Step 3: Cross multiply
    2,798.40x = 3,864.60 × 2,305.92
  4. Step 4: Simplify right side
    2,798.40x = 8,911,458.43
  5. Step 5: Solve for x
    x = 8,911,458.43/2,798.40
  6. Step 6: Final answer
    x = 3,184.48

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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.