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Finding the Fourth Proportional to 29,650, 40,926.72 and 21,290.80

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Solution

The fourth proportional to 29,650, 40,926.72 and 21,290.80 is: 29,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,650 : 40,926.72 = 21,290.80 : x
  2. Step 2: Convert to fraction form
    29,650/40,926.72 = 21,290.80/x
  3. Step 3: Cross multiply
    29,650x = 40,926.72 × 21,290.80
  4. Step 4: Simplify right side
    29,650x = 871,362,610.18
  5. Step 5: Solve for x
    x = 871,362,610.18/29,650
  6. Step 6: Final answer
    x = 29,388.28

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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.