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Finding the Fourth Proportional to 25,854, 38,781 and 8,325.60

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Solution

The fourth proportional to 25,854, 38,781 and 8,325.60 is: 12,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854 : 38,781 = 8,325.60 : x
  2. Step 2: Convert to fraction form
    25,854/38,781 = 8,325.60/x
  3. Step 3: Cross multiply
    25,854x = 38,781 × 8,325.60
  4. Step 4: Simplify right side
    25,854x = 322,875,093.60
  5. Step 5: Solve for x
    x = 322,875,093.60/25,854
  6. Step 6: Final answer
    x = 12,488.40

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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.