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Finding the Fourth Proportional to 18,684, 25,785.74 and 10,300.50

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Solution

The fourth proportional to 18,684, 25,785.74 and 10,300.50 is: 14,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684 : 25,785.74 = 10,300.50 : x
  2. Step 2: Convert to fraction form
    18,684/25,785.74 = 10,300.50/x
  3. Step 3: Cross multiply
    18,684x = 25,785.74 × 10,300.50
  4. Step 4: Simplify right side
    18,684x = 265,606,040.62
  5. Step 5: Solve for x
    x = 265,606,040.62/18,684
  6. Step 6: Final answer
    x = 14,215.69

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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.