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Finding the Fourth Proportional to 21,472.38, 32,215.26 and 9,636

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Solution

The fourth proportional to 21,472.38, 32,215.26 and 9,636 is: 14,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472.38 : 32,215.26 = 9,636 : x
  2. Step 2: Convert to fraction form
    21,472.38/32,215.26 = 9,636/x
  3. Step 3: Cross multiply
    21,472.38x = 32,215.26 × 9,636
  4. Step 4: Simplify right side
    21,472.38x = 310,426,245.36
  5. Step 5: Solve for x
    x = 310,426,245.36/21,472.38
  6. Step 6: Final answer
    x = 14,457.00

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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.