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Finding the Fourth Proportional to 3,369.90, 5,054.91 and 904.53

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Solution

The fourth proportional to 3,369.90, 5,054.91 and 904.53 is: 1,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.90 : 5,054.91 = 904.53 : x
  2. Step 2: Convert to fraction form
    3,369.90/5,054.91 = 904.53/x
  3. Step 3: Cross multiply
    3,369.90x = 5,054.91 × 904.53
  4. Step 4: Simplify right side
    3,369.90x = 4,572,333.31
  5. Step 5: Solve for x
    x = 4,572,333.31/3,369.90
  6. Step 6: Final answer
    x = 1,356.81

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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.