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Finding the Fourth Proportional to 35,993, 49,670.34 and 21,089

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Solution

The fourth proportional to 35,993, 49,670.34 and 21,089 is: 29,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,993 : 49,670.34 = 21,089 : x
  2. Step 2: Convert to fraction form
    35,993/49,670.34 = 21,089/x
  3. Step 3: Cross multiply
    35,993x = 49,670.34 × 21,089
  4. Step 4: Simplify right side
    35,993x = 1,047,497,800.26
  5. Step 5: Solve for x
    x = 1,047,497,800.26/35,993
  6. Step 6: Final answer
    x = 29,102.82

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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.