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Finding the Fourth Proportional to 1,611.76, 2,416.56 and 919.20

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Solution

The fourth proportional to 1,611.76, 2,416.56 and 919.20 is: 1,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.76 : 2,416.56 = 919.20 : x
  2. Step 2: Convert to fraction form
    1,611.76/2,416.56 = 919.20/x
  3. Step 3: Cross multiply
    1,611.76x = 2,416.56 × 919.20
  4. Step 4: Simplify right side
    1,611.76x = 2,221,301.95
  5. Step 5: Solve for x
    x = 2,221,301.95/1,611.76
  6. Step 6: Final answer
    x = 1,378.18

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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.