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Finding the Fourth Proportional to 2,384.10, 3,577.50 and 998.73

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Solution

The fourth proportional to 2,384.10, 3,577.50 and 998.73 is: 1,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.10 : 3,577.50 = 998.73 : x
  2. Step 2: Convert to fraction form
    2,384.10/3,577.50 = 998.73/x
  3. Step 3: Cross multiply
    2,384.10x = 3,577.50 × 998.73
  4. Step 4: Simplify right side
    2,384.10x = 3,572,956.58
  5. Step 5: Solve for x
    x = 3,572,956.58/2,384.10
  6. Step 6: Final answer
    x = 1,498.66

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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.