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Finding the Fourth Proportional to 2,807.90, 3,874.88 and 1,549.07

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Solution

The fourth proportional to 2,807.90, 3,874.88 and 1,549.07 is: 2,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.90 : 3,874.88 = 1,549.07 : x
  2. Step 2: Convert to fraction form
    2,807.90/3,874.88 = 1,549.07/x
  3. Step 3: Cross multiply
    2,807.90x = 3,874.88 × 1,549.07
  4. Step 4: Simplify right side
    2,807.90x = 6,002,433.24
  5. Step 5: Solve for x
    x = 6,002,433.24/2,807.90
  6. Step 6: Final answer
    x = 2,137.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.