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Finding the Fourth Proportional to 23,246.40, 32,080 and 12,636

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Solution

The fourth proportional to 23,246.40, 32,080 and 12,636 is: 17,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,246.40 : 32,080 = 12,636 : x
  2. Step 2: Convert to fraction form
    23,246.40/32,080 = 12,636/x
  3. Step 3: Cross multiply
    23,246.40x = 32,080 × 12,636
  4. Step 4: Simplify right side
    23,246.40x = 405,362,880
  5. Step 5: Solve for x
    x = 405,362,880/23,246.40
  6. Step 6: Final answer
    x = 17,437.66

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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.