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Finding the Fourth Proportional to 3,490.40, 4,819.08 and 2,166.08

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Solution

The fourth proportional to 3,490.40, 4,819.08 and 2,166.08 is: 2,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.40 : 4,819.08 = 2,166.08 : x
  2. Step 2: Convert to fraction form
    3,490.40/4,819.08 = 2,166.08/x
  3. Step 3: Cross multiply
    3,490.40x = 4,819.08 × 2,166.08
  4. Step 4: Simplify right side
    3,490.40x = 10,438,512.81
  5. Step 5: Solve for x
    x = 10,438,512.81/3,490.40
  6. Step 6: Final answer
    x = 2,990.64

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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.