Home / 5,902-8,145.32-3,384.28

Finding the Fourth Proportional to 5,902, 8,145.32 and 3,384.28

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Solution

The fourth proportional to 5,902, 8,145.32 and 3,384.28 is: 4,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902 : 8,145.32 = 3,384.28 : x
  2. Step 2: Convert to fraction form
    5,902/8,145.32 = 3,384.28/x
  3. Step 3: Cross multiply
    5,902x = 8,145.32 × 3,384.28
  4. Step 4: Simplify right side
    5,902x = 27,566,043.57
  5. Step 5: Solve for x
    x = 27,566,043.57/5,902
  6. Step 6: Final answer
    x = 4,670.63

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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.