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Finding the Fourth Proportional to 35,986, 49,667.40 and 21,082

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Solution

The fourth proportional to 35,986, 49,667.40 and 21,082 is: 29,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986 : 49,667.40 = 21,082 : x
  2. Step 2: Convert to fraction form
    35,986/49,667.40 = 21,082/x
  3. Step 3: Cross multiply
    35,986x = 49,667.40 × 21,082
  4. Step 4: Simplify right side
    35,986x = 1,047,088,126.80
  5. Step 5: Solve for x
    x = 1,047,088,126.80/35,986
  6. Step 6: Final answer
    x = 29,097.10

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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.