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Finding the Fourth Proportional to 2,808.83, 3,875.98 and 1,549.89

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Solution

The fourth proportional to 2,808.83, 3,875.98 and 1,549.89 is: 2,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.83 : 3,875.98 = 1,549.89 : x
  2. Step 2: Convert to fraction form
    2,808.83/3,875.98 = 1,549.89/x
  3. Step 3: Cross multiply
    2,808.83x = 3,875.98 × 1,549.89
  4. Step 4: Simplify right side
    2,808.83x = 6,007,315.51
  5. Step 5: Solve for x
    x = 6,007,315.51/2,808.83
  6. Step 6: Final answer
    x = 2,138.73

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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.