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Finding the Fourth Proportional to 16,712.88, 23,063.52 and 9,159

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Solution

The fourth proportional to 16,712.88, 23,063.52 and 9,159 is: 12,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,712.88 : 23,063.52 = 9,159 : x
  2. Step 2: Convert to fraction form
    16,712.88/23,063.52 = 9,159/x
  3. Step 3: Cross multiply
    16,712.88x = 23,063.52 × 9,159
  4. Step 4: Simplify right side
    16,712.88x = 211,238,779.68
  5. Step 5: Solve for x
    x = 211,238,779.68/16,712.88
  6. Step 6: Final answer
    x = 12,639.28

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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.