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Finding the Fourth Proportional to 28,032, 38,684.16 and 16,854

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Solution

The fourth proportional to 28,032, 38,684.16 and 16,854 is: 23,258.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,032 : 38,684.16 = 16,854 : x
  2. Step 2: Convert to fraction form
    28,032/38,684.16 = 16,854/x
  3. Step 3: Cross multiply
    28,032x = 38,684.16 × 16,854
  4. Step 4: Simplify right side
    28,032x = 651,982,832.64
  5. Step 5: Solve for x
    x = 651,982,832.64/28,032
  6. Step 6: Final answer
    x = 23,258.52

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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.