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Finding the Fourth Proportional to 1,346.13, 2,015.55 and 912.42

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Solution

The fourth proportional to 1,346.13, 2,015.55 and 912.42 is: 1,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.13 : 2,015.55 = 912.42 : x
  2. Step 2: Convert to fraction form
    1,346.13/2,015.55 = 912.42/x
  3. Step 3: Cross multiply
    1,346.13x = 2,015.55 × 912.42
  4. Step 4: Simplify right side
    1,346.13x = 1,839,028.13
  5. Step 5: Solve for x
    x = 1,839,028.13/1,346.13
  6. Step 6: Final answer
    x = 1,366.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.