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Finding the Fourth Proportional to 2,164.71, 2,987.30 and 1,169.99

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Solution

The fourth proportional to 2,164.71, 2,987.30 and 1,169.99 is: 1,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.71 : 2,987.30 = 1,169.99 : x
  2. Step 2: Convert to fraction form
    2,164.71/2,987.30 = 1,169.99/x
  3. Step 3: Cross multiply
    2,164.71x = 2,987.30 × 1,169.99
  4. Step 4: Simplify right side
    2,164.71x = 3,495,095.33
  5. Step 5: Solve for x
    x = 3,495,095.33/2,164.71
  6. Step 6: Final answer
    x = 1,614.58

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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.