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Finding the Fourth Proportional to 2,158.83, 2,980.62 and 1,660.59

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Solution

The fourth proportional to 2,158.83, 2,980.62 and 1,660.59 is: 2,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.83 : 2,980.62 = 1,660.59 : x
  2. Step 2: Convert to fraction form
    2,158.83/2,980.62 = 1,660.59/x
  3. Step 3: Cross multiply
    2,158.83x = 2,980.62 × 1,660.59
  4. Step 4: Simplify right side
    2,158.83x = 4,949,587.77
  5. Step 5: Solve for x
    x = 4,949,587.77/2,158.83
  6. Step 6: Final answer
    x = 2,292.72

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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.