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Finding the Fourth Proportional to 2,857.60, 3,943.49 and 1,598.71

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Solution

The fourth proportional to 2,857.60, 3,943.49 and 1,598.71 is: 2,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.60 : 3,943.49 = 1,598.71 : x
  2. Step 2: Convert to fraction form
    2,857.60/3,943.49 = 1,598.71/x
  3. Step 3: Cross multiply
    2,857.60x = 3,943.49 × 1,598.71
  4. Step 4: Simplify right side
    2,857.60x = 6,304,477.18
  5. Step 5: Solve for x
    x = 6,304,477.18/2,857.60
  6. Step 6: Final answer
    x = 2,206.22

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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.