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Finding the Fourth Proportional to 28,200, 38,916 and 15,626.64

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Solution

The fourth proportional to 28,200, 38,916 and 15,626.64 is: 21,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,200 : 38,916 = 15,626.64 : x
  2. Step 2: Convert to fraction form
    28,200/38,916 = 15,626.64/x
  3. Step 3: Cross multiply
    28,200x = 38,916 × 15,626.64
  4. Step 4: Simplify right side
    28,200x = 608,126,322.24
  5. Step 5: Solve for x
    x = 608,126,322.24/28,200
  6. Step 6: Final answer
    x = 21,564.76

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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.