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Finding the Fourth Proportional to 2,184.71, 3,014.78 and 1,189.93

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Solution

The fourth proportional to 2,184.71, 3,014.78 and 1,189.93 is: 1,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.71 : 3,014.78 = 1,189.93 : x
  2. Step 2: Convert to fraction form
    2,184.71/3,014.78 = 1,189.93/x
  3. Step 3: Cross multiply
    2,184.71x = 3,014.78 × 1,189.93
  4. Step 4: Simplify right side
    2,184.71x = 3,587,377.17
  5. Step 5: Solve for x
    x = 3,587,377.17/2,184.71
  6. Step 6: Final answer
    x = 1,642.04

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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.