Home / 1,492.18-2,059.09-828.97

Finding the Fourth Proportional to 1,492.18, 2,059.09 and 828.97

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Solution

The fourth proportional to 1,492.18, 2,059.09 and 828.97 is: 1,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.18 : 2,059.09 = 828.97 : x
  2. Step 2: Convert to fraction form
    1,492.18/2,059.09 = 828.97/x
  3. Step 3: Cross multiply
    1,492.18x = 2,059.09 × 828.97
  4. Step 4: Simplify right side
    1,492.18x = 1,706,930.02
  5. Step 5: Solve for x
    x = 1,706,930.02/1,492.18
  6. Step 6: Final answer
    x = 1,143.92

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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.