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Finding the Fourth Proportional to 2,116.50, 2,920.77 and 1,185

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Solution

The fourth proportional to 2,116.50, 2,920.77 and 1,185 is: 1,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.50 : 2,920.77 = 1,185 : x
  2. Step 2: Convert to fraction form
    2,116.50/2,920.77 = 1,185/x
  3. Step 3: Cross multiply
    2,116.50x = 2,920.77 × 1,185
  4. Step 4: Simplify right side
    2,116.50x = 3,461,112.45
  5. Step 5: Solve for x
    x = 3,461,112.45/2,116.50
  6. Step 6: Final answer
    x = 1,635.30

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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.