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Finding the Fourth Proportional to 1,314.06, 1,812.15 and 982.14

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Solution

The fourth proportional to 1,314.06, 1,812.15 and 982.14 is: 1,354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.06 : 1,812.15 = 982.14 : x
  2. Step 2: Convert to fraction form
    1,314.06/1,812.15 = 982.14/x
  3. Step 3: Cross multiply
    1,314.06x = 1,812.15 × 982.14
  4. Step 4: Simplify right side
    1,314.06x = 1,779,785.00
  5. Step 5: Solve for x
    x = 1,779,785.00/1,314.06
  6. Step 6: Final answer
    x = 1,354.42

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