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Finding the Fourth Proportional to 21,786.63, 32,681.76 and 8,639.11

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Solution

The fourth proportional to 21,786.63, 32,681.76 and 8,639.11 is: 12,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786.63 : 32,681.76 = 8,639.11 : x
  2. Step 2: Convert to fraction form
    21,786.63/32,681.76 = 8,639.11/x
  3. Step 3: Cross multiply
    21,786.63x = 32,681.76 × 8,639.11
  4. Step 4: Simplify right side
    21,786.63x = 282,341,319.63
  5. Step 5: Solve for x
    x = 282,341,319.63/21,786.63
  6. Step 6: Final answer
    x = 12,959.38

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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.