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Finding the Fourth Proportional to 13,879.16, 19,153.26 and 7,829.48

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Solution

The fourth proportional to 13,879.16, 19,153.26 and 7,829.48 is: 10,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,879.16 : 19,153.26 = 7,829.48 : x
  2. Step 2: Convert to fraction form
    13,879.16/19,153.26 = 7,829.48/x
  3. Step 3: Cross multiply
    13,879.16x = 19,153.26 × 7,829.48
  4. Step 4: Simplify right side
    13,879.16x = 149,960,066.10
  5. Step 5: Solve for x
    x = 149,960,066.10/13,879.16
  6. Step 6: Final answer
    x = 10,804.69

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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.