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Finding the Fourth Proportional to 28,164, 38,830.96 and 18,074.64

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Solution

The fourth proportional to 28,164, 38,830.96 and 18,074.64 is: 24,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,164 : 38,830.96 = 18,074.64 : x
  2. Step 2: Convert to fraction form
    28,164/38,830.96 = 18,074.64/x
  3. Step 3: Cross multiply
    28,164x = 38,830.96 × 18,074.64
  4. Step 4: Simplify right side
    28,164x = 701,855,622.85
  5. Step 5: Solve for x
    x = 701,855,622.85/28,164
  6. Step 6: Final answer
    x = 24,920.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.