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Finding the Fourth Proportional to 15,815.20, 23,710.80 and 8,029.60

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Solution

The fourth proportional to 15,815.20, 23,710.80 and 8,029.60 is: 12,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.20 : 23,710.80 = 8,029.60 : x
  2. Step 2: Convert to fraction form
    15,815.20/23,710.80 = 8,029.60/x
  3. Step 3: Cross multiply
    15,815.20x = 23,710.80 × 8,029.60
  4. Step 4: Simplify right side
    15,815.20x = 190,388,239.68
  5. Step 5: Solve for x
    x = 190,388,239.68/15,815.20
  6. Step 6: Final answer
    x = 12,038.31

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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.