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Finding the Fourth Proportional to 2,303.46, 3,178.80 and 1,255.50

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Solution

The fourth proportional to 2,303.46, 3,178.80 and 1,255.50 is: 1,732.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.46 : 3,178.80 = 1,255.50 : x
  2. Step 2: Convert to fraction form
    2,303.46/3,178.80 = 1,255.50/x
  3. Step 3: Cross multiply
    2,303.46x = 3,178.80 × 1,255.50
  4. Step 4: Simplify right side
    2,303.46x = 3,990,983.40
  5. Step 5: Solve for x
    x = 3,990,983.40/2,303.46
  6. Step 6: Final answer
    x = 1,732.60

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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.