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Finding the Fourth Proportional to 35,876.88, 49,513.32 and 21,728.88

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Solution

The fourth proportional to 35,876.88, 49,513.32 and 21,728.88 is: 29,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,876.88 : 49,513.32 = 21,728.88 : x
  2. Step 2: Convert to fraction form
    35,876.88/49,513.32 = 21,728.88/x
  3. Step 3: Cross multiply
    35,876.88x = 49,513.32 × 21,728.88
  4. Step 4: Simplify right side
    35,876.88x = 1,075,868,988.68
  5. Step 5: Solve for x
    x = 1,075,868,988.68/35,876.88
  6. Step 6: Final answer
    x = 29,987.81

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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.