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Finding the Fourth Proportional to 21,502, 29,676 and 13,123.36

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Solution

The fourth proportional to 21,502, 29,676 and 13,123.36 is: 18,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502 : 29,676 = 13,123.36 : x
  2. Step 2: Convert to fraction form
    21,502/29,676 = 13,123.36/x
  3. Step 3: Cross multiply
    21,502x = 29,676 × 13,123.36
  4. Step 4: Simplify right side
    21,502x = 389,448,831.36
  5. Step 5: Solve for x
    x = 389,448,831.36/21,502
  6. Step 6: Final answer
    x = 18,112.21

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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.