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Finding the Fourth Proportional to 25,765.20, 38,647.80 and 12,643.20

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Solution

The fourth proportional to 25,765.20, 38,647.80 and 12,643.20 is: 18,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765.20 : 38,647.80 = 12,643.20 : x
  2. Step 2: Convert to fraction form
    25,765.20/38,647.80 = 12,643.20/x
  3. Step 3: Cross multiply
    25,765.20x = 38,647.80 × 12,643.20
  4. Step 4: Simplify right side
    25,765.20x = 488,631,864.96
  5. Step 5: Solve for x
    x = 488,631,864.96/25,765.20
  6. Step 6: Final answer
    x = 18,964.80

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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.