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Finding the Fourth Proportional to 3,365.04, 5,039 and 2,815.84

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Solution

The fourth proportional to 3,365.04, 5,039 and 2,815.84 is: 4,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.04 : 5,039 = 2,815.84 : x
  2. Step 2: Convert to fraction form
    3,365.04/5,039 = 2,815.84/x
  3. Step 3: Cross multiply
    3,365.04x = 5,039 × 2,815.84
  4. Step 4: Simplify right side
    3,365.04x = 14,189,017.76
  5. Step 5: Solve for x
    x = 14,189,017.76/3,365.04
  6. Step 6: Final answer
    x = 4,216.60

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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.