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Finding the Fourth Proportional to 3,521, 5,277.71 and 2,289.30

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Solution

The fourth proportional to 3,521, 5,277.71 and 2,289.30 is: 3,431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521 : 5,277.71 = 2,289.30 : x
  2. Step 2: Convert to fraction form
    3,521/5,277.71 = 2,289.30/x
  3. Step 3: Cross multiply
    3,521x = 5,277.71 × 2,289.30
  4. Step 4: Simplify right side
    3,521x = 12,082,223.67
  5. Step 5: Solve for x
    x = 12,082,223.67/3,521
  6. Step 6: Final answer
    x = 3,431.48

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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.