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Finding the Fourth Proportional to 1,218.69, 1,827.93 and 986.31

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Solution

The fourth proportional to 1,218.69, 1,827.93 and 986.31 is: 1,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.69 : 1,827.93 = 986.31 : x
  2. Step 2: Convert to fraction form
    1,218.69/1,827.93 = 986.31/x
  3. Step 3: Cross multiply
    1,218.69x = 1,827.93 × 986.31
  4. Step 4: Simplify right side
    1,218.69x = 1,802,905.64
  5. Step 5: Solve for x
    x = 1,802,905.64/1,218.69
  6. Step 6: Final answer
    x = 1,479.38

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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.