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Finding the Fourth Proportional to 21,738.48, 29,999.24 and 11,802.48

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Solution

The fourth proportional to 21,738.48, 29,999.24 and 11,802.48 is: 16,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,738.48 : 29,999.24 = 11,802.48 : x
  2. Step 2: Convert to fraction form
    21,738.48/29,999.24 = 11,802.48/x
  3. Step 3: Cross multiply
    21,738.48x = 29,999.24 × 11,802.48
  4. Step 4: Simplify right side
    21,738.48x = 354,065,430.12
  5. Step 5: Solve for x
    x = 354,065,430.12/21,738.48
  6. Step 6: Final answer
    x = 16,287.50

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1.5x scale

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.