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Finding the Fourth Proportional to 18,844, 28,266.54 and 4,993

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Solution

The fourth proportional to 18,844, 28,266.54 and 4,993 is: 7,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,844 : 28,266.54 = 4,993 : x
  2. Step 2: Convert to fraction form
    18,844/28,266.54 = 4,993/x
  3. Step 3: Cross multiply
    18,844x = 28,266.54 × 4,993
  4. Step 4: Simplify right side
    18,844x = 141,134,834.22
  5. Step 5: Solve for x
    x = 141,134,834.22/18,844
  6. Step 6: Final answer
    x = 7,489.64

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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.