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Finding the Fourth Proportional to 1,820.29, 2,511.99 and 992.29

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Solution

The fourth proportional to 1,820.29, 2,511.99 and 992.29 is: 1,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.29 : 2,511.99 = 992.29 : x
  2. Step 2: Convert to fraction form
    1,820.29/2,511.99 = 992.29/x
  3. Step 3: Cross multiply
    1,820.29x = 2,511.99 × 992.29
  4. Step 4: Simplify right side
    1,820.29x = 2,492,610.00
  5. Step 5: Solve for x
    x = 2,492,610.00/1,820.29
  6. Step 6: Final answer
    x = 1,369.35

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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.