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Finding the Fourth Proportional to 5,728, 7,904.64 and 3,490.24

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Solution

The fourth proportional to 5,728, 7,904.64 and 3,490.24 is: 4,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728 : 7,904.64 = 3,490.24 : x
  2. Step 2: Convert to fraction form
    5,728/7,904.64 = 3,490.24/x
  3. Step 3: Cross multiply
    5,728x = 7,904.64 × 3,490.24
  4. Step 4: Simplify right side
    5,728x = 27,589,090.71
  5. Step 5: Solve for x
    x = 27,589,090.71/5,728
  6. Step 6: Final answer
    x = 4,816.53

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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.