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Finding the Fourth Proportional to 2,602.32, 3,900.09 and 1,983.75

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Solution

The fourth proportional to 2,602.32, 3,900.09 and 1,983.75 is: 2,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.32 : 3,900.09 = 1,983.75 : x
  2. Step 2: Convert to fraction form
    2,602.32/3,900.09 = 1,983.75/x
  3. Step 3: Cross multiply
    2,602.32x = 3,900.09 × 1,983.75
  4. Step 4: Simplify right side
    2,602.32x = 7,736,803.54
  5. Step 5: Solve for x
    x = 7,736,803.54/2,602.32
  6. Step 6: Final answer
    x = 2,973.04

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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.