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Finding the Fourth Proportional to 16,723.40, 23,078.16 and 9,271.40

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Solution

The fourth proportional to 16,723.40, 23,078.16 and 9,271.40 is: 12,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,723.40 : 23,078.16 = 9,271.40 : x
  2. Step 2: Convert to fraction form
    16,723.40/23,078.16 = 9,271.40/x
  3. Step 3: Cross multiply
    16,723.40x = 23,078.16 × 9,271.40
  4. Step 4: Simplify right side
    16,723.40x = 213,966,852.62
  5. Step 5: Solve for x
    x = 213,966,852.62/16,723.40
  6. Step 6: Final answer
    x = 12,794.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.