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Finding the Fourth Proportional to 21,684, 32,501.22 and 9,846.79

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Solution

The fourth proportional to 21,684, 32,501.22 and 9,846.79 is: 14,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684 : 32,501.22 = 9,846.79 : x
  2. Step 2: Convert to fraction form
    21,684/32,501.22 = 9,846.79/x
  3. Step 3: Cross multiply
    21,684x = 32,501.22 × 9,846.79
  4. Step 4: Simplify right side
    21,684x = 320,032,688.08
  5. Step 5: Solve for x
    x = 320,032,688.08/21,684
  6. Step 6: Final answer
    x = 14,758.93

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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.