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Finding the Fourth Proportional to 30,081.83, 45,129.02 and 9,021.02

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Solution

The fourth proportional to 30,081.83, 45,129.02 and 9,021.02 is: 13,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,081.83 : 45,129.02 = 9,021.02 : x
  2. Step 2: Convert to fraction form
    30,081.83/45,129.02 = 9,021.02/x
  3. Step 3: Cross multiply
    30,081.83x = 45,129.02 × 9,021.02
  4. Step 4: Simplify right side
    30,081.83x = 407,109,521.25
  5. Step 5: Solve for x
    x = 407,109,521.25/30,081.83
  6. Step 6: Final answer
    x = 13,533.41

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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.