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Finding the Fourth Proportional to 21,687.80, 32,509.52 and 12,308

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Solution

The fourth proportional to 21,687.80, 32,509.52 and 12,308 is: 18,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.80 : 32,509.52 = 12,308 : x
  2. Step 2: Convert to fraction form
    21,687.80/32,509.52 = 12,308/x
  3. Step 3: Cross multiply
    21,687.80x = 32,509.52 × 12,308
  4. Step 4: Simplify right side
    21,687.80x = 400,127,172.16
  5. Step 5: Solve for x
    x = 400,127,172.16/21,687.80
  6. Step 6: Final answer
    x = 18,449.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.