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Finding the Fourth Proportional to 5,728, 7,903.44 and 3,370.40

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Solution

The fourth proportional to 5,728, 7,903.44 and 3,370.40 is: 4,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728 : 7,903.44 = 3,370.40 : x
  2. Step 2: Convert to fraction form
    5,728/7,903.44 = 3,370.40/x
  3. Step 3: Cross multiply
    5,728x = 7,903.44 × 3,370.40
  4. Step 4: Simplify right side
    5,728x = 26,637,754.18
  5. Step 5: Solve for x
    x = 26,637,754.18/5,728
  6. Step 6: Final answer
    x = 4,650.45

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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.