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Finding the Fourth Proportional to 4,372, 6,012.64 and 3,477.28

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Solution

The fourth proportional to 4,372, 6,012.64 and 3,477.28 is: 4,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,372 : 6,012.64 = 3,477.28 : x
  2. Step 2: Convert to fraction form
    4,372/6,012.64 = 3,477.28/x
  3. Step 3: Cross multiply
    4,372x = 6,012.64 × 3,477.28
  4. Step 4: Simplify right side
    4,372x = 20,907,632.82
  5. Step 5: Solve for x
    x = 20,907,632.82/4,372
  6. Step 6: Final answer
    x = 4,782.17

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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.