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Finding the Fourth Proportional to 3,521, 5,280.46 and 1,670.28

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Solution

The fourth proportional to 3,521, 5,280.46 and 1,670.28 is: 2,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521 : 5,280.46 = 1,670.28 : x
  2. Step 2: Convert to fraction form
    3,521/5,280.46 = 1,670.28/x
  3. Step 3: Cross multiply
    3,521x = 5,280.46 × 1,670.28
  4. Step 4: Simplify right side
    3,521x = 8,819,846.73
  5. Step 5: Solve for x
    x = 8,819,846.73/3,521
  6. Step 6: Final answer
    x = 2,504.93

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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.