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Finding the Fourth Proportional to 30,043.55, 45,061.41 and 7,858.64

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Solution

The fourth proportional to 30,043.55, 45,061.41 and 7,858.64 is: 11,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,043.55 : 45,061.41 = 7,858.64 : x
  2. Step 2: Convert to fraction form
    30,043.55/45,061.41 = 7,858.64/x
  3. Step 3: Cross multiply
    30,043.55x = 45,061.41 × 7,858.64
  4. Step 4: Simplify right side
    30,043.55x = 354,121,399.08
  5. Step 5: Solve for x
    x = 354,121,399.08/30,043.55
  6. Step 6: Final answer
    x = 11,786.94

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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.