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Finding the Fourth Proportional to 18,976.64, 28,465.99 and 7,884.45

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Solution

The fourth proportional to 18,976.64, 28,465.99 and 7,884.45 is: 11,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,976.64 : 28,465.99 = 7,884.45 : x
  2. Step 2: Convert to fraction form
    18,976.64/28,465.99 = 7,884.45/x
  3. Step 3: Cross multiply
    18,976.64x = 28,465.99 × 7,884.45
  4. Step 4: Simplify right side
    18,976.64x = 224,438,587.82
  5. Step 5: Solve for x
    x = 224,438,587.82/18,976.64
  6. Step 6: Final answer
    x = 11,827.10

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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.