Home / 13,824.08-19,077.60-7,856

Finding the Fourth Proportional to 13,824.08, 19,077.60 and 7,856

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Solution

The fourth proportional to 13,824.08, 19,077.60 and 7,856 is: 10,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.08 : 19,077.60 = 7,856 : x
  2. Step 2: Convert to fraction form
    13,824.08/19,077.60 = 7,856/x
  3. Step 3: Cross multiply
    13,824.08x = 19,077.60 × 7,856
  4. Step 4: Simplify right side
    13,824.08x = 149,873,625.60
  5. Step 5: Solve for x
    x = 149,873,625.60/13,824.08
  6. Step 6: Final answer
    x = 10,841.49

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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.