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Finding the Fourth Proportional to 30,051.93, 45,080.57 and 7,865.22

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Solution

The fourth proportional to 30,051.93, 45,080.57 and 7,865.22 is: 11,798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,051.93 : 45,080.57 = 7,865.22 : x
  2. Step 2: Convert to fraction form
    30,051.93/45,080.57 = 7,865.22/x
  3. Step 3: Cross multiply
    30,051.93x = 45,080.57 × 7,865.22
  4. Step 4: Simplify right side
    30,051.93x = 354,568,600.78
  5. Step 5: Solve for x
    x = 354,568,600.78/30,051.93
  6. Step 6: Final answer
    x = 11,798.53

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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.