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Finding the Fourth Proportional to 18,874, 28,311.54 and 5,023

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Solution

The fourth proportional to 18,874, 28,311.54 and 5,023 is: 7,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,874 : 28,311.54 = 5,023 : x
  2. Step 2: Convert to fraction form
    18,874/28,311.54 = 5,023/x
  3. Step 3: Cross multiply
    18,874x = 28,311.54 × 5,023
  4. Step 4: Simplify right side
    18,874x = 142,208,865.42
  5. Step 5: Solve for x
    x = 142,208,865.42/18,874
  6. Step 6: Final answer
    x = 7,534.64

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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.