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Finding the Fourth Proportional to 1,548.15, 2,135.50 and 918.25

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Solution

The fourth proportional to 1,548.15, 2,135.50 and 918.25 is: 1,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.15 : 2,135.50 = 918.25 : x
  2. Step 2: Convert to fraction form
    1,548.15/2,135.50 = 918.25/x
  3. Step 3: Cross multiply
    1,548.15x = 2,135.50 × 918.25
  4. Step 4: Simplify right side
    1,548.15x = 1,960,923.31
  5. Step 5: Solve for x
    x = 1,960,923.31/1,548.15
  6. Step 6: Final answer
    x = 1,266.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.