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Finding the Fourth Proportional to 18,402.54, 25,411.74 and 13,678.62

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Solution

The fourth proportional to 18,402.54, 25,411.74 and 13,678.62 is: 18,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,402.54 : 25,411.74 = 13,678.62 : x
  2. Step 2: Convert to fraction form
    18,402.54/25,411.74 = 13,678.62/x
  3. Step 3: Cross multiply
    18,402.54x = 25,411.74 × 13,678.62
  4. Step 4: Simplify right side
    18,402.54x = 347,597,535.00
  5. Step 5: Solve for x
    x = 347,597,535.00/18,402.54
  6. Step 6: Final answer
    x = 18,888.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.