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Finding the Fourth Proportional to 1,918.91, 2,878.16 and 1,188.29

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Solution

The fourth proportional to 1,918.91, 2,878.16 and 1,188.29 is: 1,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.91 : 2,878.16 = 1,188.29 : x
  2. Step 2: Convert to fraction form
    1,918.91/2,878.16 = 1,188.29/x
  3. Step 3: Cross multiply
    1,918.91x = 2,878.16 × 1,188.29
  4. Step 4: Simplify right side
    1,918.91x = 3,420,068.41
  5. Step 5: Solve for x
    x = 3,420,068.41/1,918.91
  6. Step 6: Final answer
    x = 1,782.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.