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Finding the Fourth Proportional to 21,664.66, 32,497 and 7,813.66

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Solution

The fourth proportional to 21,664.66, 32,497 and 7,813.66 is: 11,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.66 : 32,497 = 7,813.66 : x
  2. Step 2: Convert to fraction form
    21,664.66/32,497 = 7,813.66/x
  3. Step 3: Cross multiply
    21,664.66x = 32,497 × 7,813.66
  4. Step 4: Simplify right side
    21,664.66x = 253,920,509.02
  5. Step 5: Solve for x
    x = 253,920,509.02/21,664.66
  6. Step 6: Final answer
    x = 11,720.49

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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.