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Finding the Fourth Proportional to 35,991, 49,667.58 and 21,087

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Solution

The fourth proportional to 35,991, 49,667.58 and 21,087 is: 29,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,991 : 49,667.58 = 21,087 : x
  2. Step 2: Convert to fraction form
    35,991/49,667.58 = 21,087/x
  3. Step 3: Cross multiply
    35,991x = 49,667.58 × 21,087
  4. Step 4: Simplify right side
    35,991x = 1,047,340,259.46
  5. Step 5: Solve for x
    x = 1,047,340,259.46/35,991
  6. Step 6: Final answer
    x = 29,100.06

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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.