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Finding the Fourth Proportional to 21,609.91, 32,428.53 and 8,461.94

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Solution

The fourth proportional to 21,609.91, 32,428.53 and 8,461.94 is: 12,698.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,609.91 : 32,428.53 = 8,461.94 : x
  2. Step 2: Convert to fraction form
    21,609.91/32,428.53 = 8,461.94/x
  3. Step 3: Cross multiply
    21,609.91x = 32,428.53 × 8,461.94
  4. Step 4: Simplify right side
    21,609.91x = 274,408,275.15
  5. Step 5: Solve for x
    x = 274,408,275.15/21,609.91
  6. Step 6: Final answer
    x = 12,698.26

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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.