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Finding the Fourth Proportional to 21,413.94, 32,076.09 and 13,583.94

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Solution

The fourth proportional to 21,413.94, 32,076.09 and 13,583.94 is: 20,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.94 : 32,076.09 = 13,583.94 : x
  2. Step 2: Convert to fraction form
    21,413.94/32,076.09 = 13,583.94/x
  3. Step 3: Cross multiply
    21,413.94x = 32,076.09 × 13,583.94
  4. Step 4: Simplify right side
    21,413.94x = 435,719,681.99
  5. Step 5: Solve for x
    x = 435,719,681.99/21,413.94
  6. Step 6: Final answer
    x = 20,347.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.