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Finding the Fourth Proportional to 12,385.54, 18,578 and 3,025.62

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Solution

The fourth proportional to 12,385.54, 18,578 and 3,025.62 is: 4,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.54 : 18,578 = 3,025.62 : x
  2. Step 2: Convert to fraction form
    12,385.54/18,578 = 3,025.62/x
  3. Step 3: Cross multiply
    12,385.54x = 18,578 × 3,025.62
  4. Step 4: Simplify right side
    12,385.54x = 56,209,968.36
  5. Step 5: Solve for x
    x = 56,209,968.36/12,385.54
  6. Step 6: Final answer
    x = 4,538.35

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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.