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Finding the Fourth Proportional to 25,968.40, 38,978.20 and 12,835.60

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Solution

The fourth proportional to 25,968.40, 38,978.20 and 12,835.60 is: 19,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,968.40 : 38,978.20 = 12,835.60 : x
  2. Step 2: Convert to fraction form
    25,968.40/38,978.20 = 12,835.60/x
  3. Step 3: Cross multiply
    25,968.40x = 38,978.20 × 12,835.60
  4. Step 4: Simplify right side
    25,968.40x = 500,308,583.92
  5. Step 5: Solve for x
    x = 500,308,583.92/25,968.40
  6. Step 6: Final answer
    x = 19,266.05

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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.