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Finding the Fourth Proportional to 21,075.92, 29,085 and 11,643.92

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Solution

The fourth proportional to 21,075.92, 29,085 and 11,643.92 is: 16,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.92 : 29,085 = 11,643.92 : x
  2. Step 2: Convert to fraction form
    21,075.92/29,085 = 11,643.92/x
  3. Step 3: Cross multiply
    21,075.92x = 29,085 × 11,643.92
  4. Step 4: Simplify right side
    21,075.92x = 338,663,413.20
  5. Step 5: Solve for x
    x = 338,663,413.20/21,075.92
  6. Step 6: Final answer
    x = 16,068.74

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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.