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Finding the Fourth Proportional to 18,668, 28,002.54 and 4,817

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Solution

The fourth proportional to 18,668, 28,002.54 and 4,817 is: 7,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668 : 28,002.54 = 4,817 : x
  2. Step 2: Convert to fraction form
    18,668/28,002.54 = 4,817/x
  3. Step 3: Cross multiply
    18,668x = 28,002.54 × 4,817
  4. Step 4: Simplify right side
    18,668x = 134,888,235.18
  5. Step 5: Solve for x
    x = 134,888,235.18/18,668
  6. Step 6: Final answer
    x = 7,225.64

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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.