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Finding the Fourth Proportional to 2,983.06, 4,474.01 and 874.94

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Solution

The fourth proportional to 2,983.06, 4,474.01 and 874.94 is: 1,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.06 : 4,474.01 = 874.94 : x
  2. Step 2: Convert to fraction form
    2,983.06/4,474.01 = 874.94/x
  3. Step 3: Cross multiply
    2,983.06x = 4,474.01 × 874.94
  4. Step 4: Simplify right side
    2,983.06x = 3,914,490.31
  5. Step 5: Solve for x
    x = 3,914,490.31/2,983.06
  6. Step 6: Final answer
    x = 1,312.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.