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Finding the Fourth Proportional to 21,232, 29,300.20 and 11,802.80

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Solution

The fourth proportional to 21,232, 29,300.20 and 11,802.80 is: 16,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232 : 29,300.20 = 11,802.80 : x
  2. Step 2: Convert to fraction form
    21,232/29,300.20 = 11,802.80/x
  3. Step 3: Cross multiply
    21,232x = 29,300.20 × 11,802.80
  4. Step 4: Simplify right side
    21,232x = 345,824,400.56
  5. Step 5: Solve for x
    x = 345,824,400.56/21,232
  6. Step 6: Final answer
    x = 16,287.89

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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.