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Finding the Fourth Proportional to 1,805.88, 2,492.14 and 1,019.98

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Solution

The fourth proportional to 1,805.88, 2,492.14 and 1,019.98 is: 1,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.88 : 2,492.14 = 1,019.98 : x
  2. Step 2: Convert to fraction form
    1,805.88/2,492.14 = 1,019.98/x
  3. Step 3: Cross multiply
    1,805.88x = 2,492.14 × 1,019.98
  4. Step 4: Simplify right side
    1,805.88x = 2,541,932.96
  5. Step 5: Solve for x
    x = 2,541,932.96/1,805.88
  6. Step 6: Final answer
    x = 1,407.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.