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Finding the Fourth Proportional to 18,867.72, 28,290.72 and 7,782.08

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Solution

The fourth proportional to 18,867.72, 28,290.72 and 7,782.08 is: 11,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,867.72 : 28,290.72 = 7,782.08 : x
  2. Step 2: Convert to fraction form
    18,867.72/28,290.72 = 7,782.08/x
  3. Step 3: Cross multiply
    18,867.72x = 28,290.72 × 7,782.08
  4. Step 4: Simplify right side
    18,867.72x = 220,160,646.30
  5. Step 5: Solve for x
    x = 220,160,646.30/18,867.72
  6. Step 6: Final answer
    x = 11,668.64

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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.