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Finding the Fourth Proportional to 2,574.39, 3,838.98 and 2,551

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Solution

The fourth proportional to 2,574.39, 3,838.98 and 2,551 is: 3,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.39 : 3,838.98 = 2,551 : x
  2. Step 2: Convert to fraction form
    2,574.39/3,838.98 = 2,551/x
  3. Step 3: Cross multiply
    2,574.39x = 3,838.98 × 2,551
  4. Step 4: Simplify right side
    2,574.39x = 9,793,237.98
  5. Step 5: Solve for x
    x = 9,793,237.98/2,574.39
  6. Step 6: Final answer
    x = 3,804.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.