Home / 13,827-19,081.30-7,539.24

Finding the Fourth Proportional to 13,827, 19,081.30 and 7,539.24

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Solution

The fourth proportional to 13,827, 19,081.30 and 7,539.24 is: 10,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827 : 19,081.30 = 7,539.24 : x
  2. Step 2: Convert to fraction form
    13,827/19,081.30 = 7,539.24/x
  3. Step 3: Cross multiply
    13,827x = 19,081.30 × 7,539.24
  4. Step 4: Simplify right side
    13,827x = 143,858,500.21
  5. Step 5: Solve for x
    x = 143,858,500.21/13,827
  6. Step 6: Final answer
    x = 10,404.17

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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.