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Finding the Fourth Proportional to 2,651.46, 3,957.83 and 2,458.74

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Solution

The fourth proportional to 2,651.46, 3,957.83 and 2,458.74 is: 3,670.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.46 : 3,957.83 = 2,458.74 : x
  2. Step 2: Convert to fraction form
    2,651.46/3,957.83 = 2,458.74/x
  3. Step 3: Cross multiply
    2,651.46x = 3,957.83 × 2,458.74
  4. Step 4: Simplify right side
    2,651.46x = 9,731,262.64
  5. Step 5: Solve for x
    x = 9,731,262.64/2,651.46
  6. Step 6: Final answer
    x = 3,670.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.