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Finding the Fourth Proportional to 2,798.64, 3,856.86 and 2,298.24

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Solution

The fourth proportional to 2,798.64, 3,856.86 and 2,298.24 is: 3,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.64 : 3,856.86 = 2,298.24 : x
  2. Step 2: Convert to fraction form
    2,798.64/3,856.86 = 2,298.24/x
  3. Step 3: Cross multiply
    2,798.64x = 3,856.86 × 2,298.24
  4. Step 4: Simplify right side
    2,798.64x = 8,863,989.93
  5. Step 5: Solve for x
    x = 8,863,989.93/2,798.64
  6. Step 6: Final answer
    x = 3,167.25

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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.