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Finding the Fourth Proportional to 3,467.68, 4,790.64 and 2,275.50

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Solution

The fourth proportional to 3,467.68, 4,790.64 and 2,275.50 is: 3,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.68 : 4,790.64 = 2,275.50 : x
  2. Step 2: Convert to fraction form
    3,467.68/4,790.64 = 2,275.50/x
  3. Step 3: Cross multiply
    3,467.68x = 4,790.64 × 2,275.50
  4. Step 4: Simplify right side
    3,467.68x = 10,901,101.32
  5. Step 5: Solve for x
    x = 10,901,101.32/3,467.68
  6. Step 6: Final answer
    x = 3,143.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.