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Finding the Fourth Proportional to 28,042, 38,698 and 15,467.60

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Solution

The fourth proportional to 28,042, 38,698 and 15,467.60 is: 21,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,042 : 38,698 = 15,467.60 : x
  2. Step 2: Convert to fraction form
    28,042/38,698 = 15,467.60/x
  3. Step 3: Cross multiply
    28,042x = 38,698 × 15,467.60
  4. Step 4: Simplify right side
    28,042x = 598,565,184.80
  5. Step 5: Solve for x
    x = 598,565,184.80/28,042
  6. Step 6: Final answer
    x = 21,345.31

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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.