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Finding the Fourth Proportional to 2,807.90, 3,875.01 and 1,549.10

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Solution

The fourth proportional to 2,807.90, 3,875.01 and 1,549.10 is: 2,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.90 : 3,875.01 = 1,549.10 : x
  2. Step 2: Convert to fraction form
    2,807.90/3,875.01 = 1,549.10/x
  3. Step 3: Cross multiply
    2,807.90x = 3,875.01 × 1,549.10
  4. Step 4: Simplify right side
    2,807.90x = 6,002,758.62
  5. Step 5: Solve for x
    x = 6,002,758.62/2,807.90
  6. Step 6: Final answer
    x = 2,137.81

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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.