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Finding the Fourth Proportional to 15,978.60, 23,969.70 and 4,885.20

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Solution

The fourth proportional to 15,978.60, 23,969.70 and 4,885.20 is: 7,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.60 : 23,969.70 = 4,885.20 : x
  2. Step 2: Convert to fraction form
    15,978.60/23,969.70 = 4,885.20/x
  3. Step 3: Cross multiply
    15,978.60x = 23,969.70 × 4,885.20
  4. Step 4: Simplify right side
    15,978.60x = 117,096,778.44
  5. Step 5: Solve for x
    x = 117,096,778.44/15,978.60
  6. Step 6: Final answer
    x = 7,328.35

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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.