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Finding the Fourth Proportional to 35,987, 49,668.78 and 21,083

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Solution

The fourth proportional to 35,987, 49,668.78 and 21,083 is: 29,098.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,987 : 49,668.78 = 21,083 : x
  2. Step 2: Convert to fraction form
    35,987/49,668.78 = 21,083/x
  3. Step 3: Cross multiply
    35,987x = 49,668.78 × 21,083
  4. Step 4: Simplify right side
    35,987x = 1,047,166,888.74
  5. Step 5: Solve for x
    x = 1,047,166,888.74/35,987
  6. Step 6: Final answer
    x = 29,098.48

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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.