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Finding the Fourth Proportional to 28,078.16, 38,731.08 and 16,898

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Solution

The fourth proportional to 28,078.16, 38,731.08 and 16,898 is: 23,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,078.16 : 38,731.08 = 16,898 : x
  2. Step 2: Convert to fraction form
    28,078.16/38,731.08 = 16,898/x
  3. Step 3: Cross multiply
    28,078.16x = 38,731.08 × 16,898
  4. Step 4: Simplify right side
    28,078.16x = 654,477,789.84
  5. Step 5: Solve for x
    x = 654,477,789.84/28,078.16
  6. Step 6: Final answer
    x = 23,309.14

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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.