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Finding the Fourth Proportional to 1,971.04, 2,720 and 1,086.82

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Solution

The fourth proportional to 1,971.04, 2,720 and 1,086.82 is: 1,499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.04 : 2,720 = 1,086.82 : x
  2. Step 2: Convert to fraction form
    1,971.04/2,720 = 1,086.82/x
  3. Step 3: Cross multiply
    1,971.04x = 2,720 × 1,086.82
  4. Step 4: Simplify right side
    1,971.04x = 2,956,150.40
  5. Step 5: Solve for x
    x = 2,956,150.40/1,971.04
  6. Step 6: Final answer
    x = 1,499.79

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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.