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Finding the Fourth Proportional to 3,527, 5,290.50 and 1,218.50

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Solution

The fourth proportional to 3,527, 5,290.50 and 1,218.50 is: 1,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527 : 5,290.50 = 1,218.50 : x
  2. Step 2: Convert to fraction form
    3,527/5,290.50 = 1,218.50/x
  3. Step 3: Cross multiply
    3,527x = 5,290.50 × 1,218.50
  4. Step 4: Simplify right side
    3,527x = 6,446,474.25
  5. Step 5: Solve for x
    x = 6,446,474.25/3,527
  6. Step 6: Final answer
    x = 1,827.75

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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.