Home / 13,958-19,261.52-7,584.32

Finding the Fourth Proportional to 13,958, 19,261.52 and 7,584.32

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Solution

The fourth proportional to 13,958, 19,261.52 and 7,584.32 is: 10,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958 : 19,261.52 = 7,584.32 : x
  2. Step 2: Convert to fraction form
    13,958/19,261.52 = 7,584.32/x
  3. Step 3: Cross multiply
    13,958x = 19,261.52 × 7,584.32
  4. Step 4: Simplify right side
    13,958x = 146,085,531.37
  5. Step 5: Solve for x
    x = 146,085,531.37/13,958
  6. Step 6: Final answer
    x = 10,466.08

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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.