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Finding the Fourth Proportional to 3,670, 5,064 and 2,097.84

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Solution

The fourth proportional to 3,670, 5,064 and 2,097.84 is: 2,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670 : 5,064 = 2,097.84 : x
  2. Step 2: Convert to fraction form
    3,670/5,064 = 2,097.84/x
  3. Step 3: Cross multiply
    3,670x = 5,064 × 2,097.84
  4. Step 4: Simplify right side
    3,670x = 10,623,461.76
  5. Step 5: Solve for x
    x = 10,623,461.76/3,670
  6. Step 6: Final answer
    x = 2,894.68

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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.