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Finding the Fourth Proportional to 18,677, 25,774.26 and 10,293.68

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Solution

The fourth proportional to 18,677, 25,774.26 and 10,293.68 is: 14,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,677 : 25,774.26 = 10,293.68 : x
  2. Step 2: Convert to fraction form
    18,677/25,774.26 = 10,293.68/x
  3. Step 3: Cross multiply
    18,677x = 25,774.26 × 10,293.68
  4. Step 4: Simplify right side
    18,677x = 265,311,984.68
  5. Step 5: Solve for x
    x = 265,311,984.68/18,677
  6. Step 6: Final answer
    x = 14,205.28

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1.5x scale

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.