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Finding the Fourth Proportional to 15,978.06, 23,962.23 and 7,653.78

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Solution

The fourth proportional to 15,978.06, 23,962.23 and 7,653.78 is: 11,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.06 : 23,962.23 = 7,653.78 : x
  2. Step 2: Convert to fraction form
    15,978.06/23,962.23 = 7,653.78/x
  3. Step 3: Cross multiply
    15,978.06x = 23,962.23 × 7,653.78
  4. Step 4: Simplify right side
    15,978.06x = 183,401,636.73
  5. Step 5: Solve for x
    x = 183,401,636.73/15,978.06
  6. Step 6: Final answer
    x = 11,478.34

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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.