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Finding the Fourth Proportional to 1,918.69, 2,878.65 and 1,456.99

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Solution

The fourth proportional to 1,918.69, 2,878.65 and 1,456.99 is: 2,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.69 : 2,878.65 = 1,456.99 : x
  2. Step 2: Convert to fraction form
    1,918.69/2,878.65 = 1,456.99/x
  3. Step 3: Cross multiply
    1,918.69x = 2,878.65 × 1,456.99
  4. Step 4: Simplify right side
    1,918.69x = 4,194,164.26
  5. Step 5: Solve for x
    x = 4,194,164.26/1,918.69
  6. Step 6: Final answer
    x = 2,185.95

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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.