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Finding the Fourth Proportional to 1,622, 2,430.80 and 891.92

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Solution

The fourth proportional to 1,622, 2,430.80 and 891.92 is: 1,336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622 : 2,430.80 = 891.92 : x
  2. Step 2: Convert to fraction form
    1,622/2,430.80 = 891.92/x
  3. Step 3: Cross multiply
    1,622x = 2,430.80 × 891.92
  4. Step 4: Simplify right side
    1,622x = 2,168,079.14
  5. Step 5: Solve for x
    x = 2,168,079.14/1,622
  6. Step 6: Final answer
    x = 1,336.67

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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.