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Finding the Fourth Proportional to 2,602.57, 3,900.48 and 1,984

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Solution

The fourth proportional to 2,602.57, 3,900.48 and 1,984 is: 2,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.57 : 3,900.48 = 1,984 : x
  2. Step 2: Convert to fraction form
    2,602.57/3,900.48 = 1,984/x
  3. Step 3: Cross multiply
    2,602.57x = 3,900.48 × 1,984
  4. Step 4: Simplify right side
    2,602.57x = 7,738,552.32
  5. Step 5: Solve for x
    x = 7,738,552.32/2,602.57
  6. Step 6: Final answer
    x = 2,973.43

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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.