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Finding the Fourth Proportional to 2,870.44, 3,963.14 and 1,927.63

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Solution

The fourth proportional to 2,870.44, 3,963.14 and 1,927.63 is: 2,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.44 : 3,963.14 = 1,927.63 : x
  2. Step 2: Convert to fraction form
    2,870.44/3,963.14 = 1,927.63/x
  3. Step 3: Cross multiply
    2,870.44x = 3,963.14 × 1,927.63
  4. Step 4: Simplify right side
    2,870.44x = 7,639,467.56
  5. Step 5: Solve for x
    x = 7,639,467.56/2,870.44
  6. Step 6: Final answer
    x = 2,661.43

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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.