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Finding the Fourth Proportional to 1,990.60, 2,741.12 and 1,572.64

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Solution

The fourth proportional to 1,990.60, 2,741.12 and 1,572.64 is: 2,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.60 : 2,741.12 = 1,572.64 : x
  2. Step 2: Convert to fraction form
    1,990.60/2,741.12 = 1,572.64/x
  3. Step 3: Cross multiply
    1,990.60x = 2,741.12 × 1,572.64
  4. Step 4: Simplify right side
    1,990.60x = 4,310,794.96
  5. Step 5: Solve for x
    x = 4,310,794.96/1,990.60
  6. Step 6: Final answer
    x = 2,165.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.