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Finding the Fourth Proportional to 15,978.74, 23,967.20 and 4,885.41

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Solution

The fourth proportional to 15,978.74, 23,967.20 and 4,885.41 is: 7,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.74 : 23,967.20 = 4,885.41 : x
  2. Step 2: Convert to fraction form
    15,978.74/23,967.20 = 4,885.41/x
  3. Step 3: Cross multiply
    15,978.74x = 23,967.20 × 4,885.41
  4. Step 4: Simplify right side
    15,978.74x = 117,089,574.12
  5. Step 5: Solve for x
    x = 117,089,574.12/15,978.74
  6. Step 6: Final answer
    x = 7,327.84

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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.