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Finding the Fourth Proportional to 3,446.84, 4,758.59 and 2,637.77

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Solution

The fourth proportional to 3,446.84, 4,758.59 and 2,637.77 is: 3,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.84 : 4,758.59 = 2,637.77 : x
  2. Step 2: Convert to fraction form
    3,446.84/4,758.59 = 2,637.77/x
  3. Step 3: Cross multiply
    3,446.84x = 4,758.59 × 2,637.77
  4. Step 4: Simplify right side
    3,446.84x = 12,552,065.94
  5. Step 5: Solve for x
    x = 12,552,065.94/3,446.84
  6. Step 6: Final answer
    x = 3,641.62

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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.