Home / 1,082.26-1,492.93-942.13

Finding the Fourth Proportional to 1,082.26, 1,492.93 and 942.13

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Solution

The fourth proportional to 1,082.26, 1,492.93 and 942.13 is: 1,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.26 : 1,492.93 = 942.13 : x
  2. Step 2: Convert to fraction form
    1,082.26/1,492.93 = 942.13/x
  3. Step 3: Cross multiply
    1,082.26x = 1,492.93 × 942.13
  4. Step 4: Simplify right side
    1,082.26x = 1,406,534.14
  5. Step 5: Solve for x
    x = 1,406,534.14/1,082.26
  6. Step 6: Final answer
    x = 1,299.63

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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.