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Finding the Fourth Proportional to 15,762.63, 21,751.56 and 8,687.82

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Solution

The fourth proportional to 15,762.63, 21,751.56 and 8,687.82 is: 11,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.63 : 21,751.56 = 8,687.82 : x
  2. Step 2: Convert to fraction form
    15,762.63/21,751.56 = 8,687.82/x
  3. Step 3: Cross multiply
    15,762.63x = 21,751.56 × 8,687.82
  4. Step 4: Simplify right side
    15,762.63x = 188,973,638.00
  5. Step 5: Solve for x
    x = 188,973,638.00/15,762.63
  6. Step 6: Final answer
    x = 11,988.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.