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Finding the Fourth Proportional to 17,138, 23,649.48 and 12,428.24

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Solution

The fourth proportional to 17,138, 23,649.48 and 12,428.24 is: 17,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138 : 23,649.48 = 12,428.24 : x
  2. Step 2: Convert to fraction form
    17,138/23,649.48 = 12,428.24/x
  3. Step 3: Cross multiply
    17,138x = 23,649.48 × 12,428.24
  4. Step 4: Simplify right side
    17,138x = 293,921,413.32
  5. Step 5: Solve for x
    x = 293,921,413.32/17,138
  6. Step 6: Final answer
    x = 17,150.28

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1.5x scale

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.