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Finding the Fourth Proportional to 2,119.76, 2,925.26 and 1,188.26

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Solution

The fourth proportional to 2,119.76, 2,925.26 and 1,188.26 is: 1,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.76 : 2,925.26 = 1,188.26 : x
  2. Step 2: Convert to fraction form
    2,119.76/2,925.26 = 1,188.26/x
  3. Step 3: Cross multiply
    2,119.76x = 2,925.26 × 1,188.26
  4. Step 4: Simplify right side
    2,119.76x = 3,475,969.45
  5. Step 5: Solve for x
    x = 3,475,969.45/2,119.76
  6. Step 6: Final answer
    x = 1,639.79

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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.