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Finding the Fourth Proportional to 25,978.56, 38,973.60 and 12,120

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Solution

The fourth proportional to 25,978.56, 38,973.60 and 12,120 is: 18,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,978.56 : 38,973.60 = 12,120 : x
  2. Step 2: Convert to fraction form
    25,978.56/38,973.60 = 12,120/x
  3. Step 3: Cross multiply
    25,978.56x = 38,973.60 × 12,120
  4. Step 4: Simplify right side
    25,978.56x = 472,360,032
  5. Step 5: Solve for x
    x = 472,360,032/25,978.56
  6. Step 6: Final answer
    x = 18,182.69

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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.