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Finding the Fourth Proportional to 21,602.10, 32,406.64 and 9,124

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Solution

The fourth proportional to 21,602.10, 32,406.64 and 9,124 is: 13,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.10 : 32,406.64 = 9,124 : x
  2. Step 2: Convert to fraction form
    21,602.10/32,406.64 = 9,124/x
  3. Step 3: Cross multiply
    21,602.10x = 32,406.64 × 9,124
  4. Step 4: Simplify right side
    21,602.10x = 295,678,183.36
  5. Step 5: Solve for x
    x = 295,678,183.36/21,602.10
  6. Step 6: Final answer
    x = 13,687.47

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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.