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Finding the Fourth Proportional to 3,670.40, 5,496 and 2,124.80

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Solution

The fourth proportional to 3,670.40, 5,496 and 2,124.80 is: 3,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.40 : 5,496 = 2,124.80 : x
  2. Step 2: Convert to fraction form
    3,670.40/5,496 = 2,124.80/x
  3. Step 3: Cross multiply
    3,670.40x = 5,496 × 2,124.80
  4. Step 4: Simplify right side
    3,670.40x = 11,677,900.80
  5. Step 5: Solve for x
    x = 11,677,900.80/3,670.40
  6. Step 6: Final answer
    x = 3,181.64

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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.