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Finding the Fourth Proportional to 1,998.98, 3,000.30 and 1,535.28

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Solution

The fourth proportional to 1,998.98, 3,000.30 and 1,535.28 is: 2,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.98 : 3,000.30 = 1,535.28 : x
  2. Step 2: Convert to fraction form
    1,998.98/3,000.30 = 1,535.28/x
  3. Step 3: Cross multiply
    1,998.98x = 3,000.30 × 1,535.28
  4. Step 4: Simplify right side
    1,998.98x = 4,606,300.58
  5. Step 5: Solve for x
    x = 4,606,300.58/1,998.98
  6. Step 6: Final answer
    x = 2,304.33

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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.