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Finding the Fourth Proportional to 15,978.98, 23,968.46 and 4,292.19

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Solution

The fourth proportional to 15,978.98, 23,968.46 and 4,292.19 is: 6,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.98 : 23,968.46 = 4,292.19 : x
  2. Step 2: Convert to fraction form
    15,978.98/23,968.46 = 4,292.19/x
  3. Step 3: Cross multiply
    15,978.98x = 23,968.46 × 4,292.19
  4. Step 4: Simplify right side
    15,978.98x = 102,877,162.87
  5. Step 5: Solve for x
    x = 102,877,162.87/15,978.98
  6. Step 6: Final answer
    x = 6,438.28

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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.