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Finding the Fourth Proportional to 3,497.80, 4,827.78 and 2,451.40

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Solution

The fourth proportional to 3,497.80, 4,827.78 and 2,451.40 is: 3,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.80 : 4,827.78 = 2,451.40 : x
  2. Step 2: Convert to fraction form
    3,497.80/4,827.78 = 2,451.40/x
  3. Step 3: Cross multiply
    3,497.80x = 4,827.78 × 2,451.40
  4. Step 4: Simplify right side
    3,497.80x = 11,834,819.89
  5. Step 5: Solve for x
    x = 11,834,819.89/3,497.80
  6. Step 6: Final answer
    x = 3,383.50

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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.