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Finding the Fourth Proportional to 17,130, 23,639.44 and 9,678

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Solution

The fourth proportional to 17,130, 23,639.44 and 9,678 is: 13,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,130 : 23,639.44 = 9,678 : x
  2. Step 2: Convert to fraction form
    17,130/23,639.44 = 9,678/x
  3. Step 3: Cross multiply
    17,130x = 23,639.44 × 9,678
  4. Step 4: Simplify right side
    17,130x = 228,782,500.32
  5. Step 5: Solve for x
    x = 228,782,500.32/17,130
  6. Step 6: Final answer
    x = 13,355.66

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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.