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Finding the Fourth Proportional to 21,678.86, 32,484.26 and 12,909

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Solution

The fourth proportional to 21,678.86, 32,484.26 and 12,909 is: 19,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.86 : 32,484.26 = 12,909 : x
  2. Step 2: Convert to fraction form
    21,678.86/32,484.26 = 12,909/x
  3. Step 3: Cross multiply
    21,678.86x = 32,484.26 × 12,909
  4. Step 4: Simplify right side
    21,678.86x = 419,339,312.34
  5. Step 5: Solve for x
    x = 419,339,312.34/21,678.86
  6. Step 6: Final answer
    x = 19,343.24

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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.