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Finding the Fourth Proportional to 20,029, 30,054.22 and 13,007.36

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Solution

The fourth proportional to 20,029, 30,054.22 and 13,007.36 is: 19,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029 : 30,054.22 = 13,007.36 : x
  2. Step 2: Convert to fraction form
    20,029/30,054.22 = 13,007.36/x
  3. Step 3: Cross multiply
    20,029x = 30,054.22 × 13,007.36
  4. Step 4: Simplify right side
    20,029x = 390,926,059.06
  5. Step 5: Solve for x
    x = 390,926,059.06/20,029
  6. Step 6: Final answer
    x = 19,518.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.