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Finding the Fourth Proportional to 1,971.50, 2,720.67 and 1,226.86

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Solution

The fourth proportional to 1,971.50, 2,720.67 and 1,226.86 is: 1,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.50 : 2,720.67 = 1,226.86 : x
  2. Step 2: Convert to fraction form
    1,971.50/2,720.67 = 1,226.86/x
  3. Step 3: Cross multiply
    1,971.50x = 2,720.67 × 1,226.86
  4. Step 4: Simplify right side
    1,971.50x = 3,337,881.20
  5. Step 5: Solve for x
    x = 3,337,881.20/1,971.50
  6. Step 6: Final answer
    x = 1,693.07

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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.