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Finding the Fourth Proportional to 2,303.64, 3,179.12 and 1,255.76

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Solution

The fourth proportional to 2,303.64, 3,179.12 and 1,255.76 is: 1,733.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.64 : 3,179.12 = 1,255.76 : x
  2. Step 2: Convert to fraction form
    2,303.64/3,179.12 = 1,255.76/x
  3. Step 3: Cross multiply
    2,303.64x = 3,179.12 × 1,255.76
  4. Step 4: Simplify right side
    2,303.64x = 3,992,211.73
  5. Step 5: Solve for x
    x = 3,992,211.73/2,303.64
  6. Step 6: Final answer
    x = 1,733.00

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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.