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Finding the Fourth Proportional to 15,740, 21,720.77 and 8,666.46

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Solution

The fourth proportional to 15,740, 21,720.77 and 8,666.46 is: 11,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740 : 21,720.77 = 8,666.46 : x
  2. Step 2: Convert to fraction form
    15,740/21,720.77 = 8,666.46/x
  3. Step 3: Cross multiply
    15,740x = 21,720.77 × 8,666.46
  4. Step 4: Simplify right side
    15,740x = 188,242,184.37
  5. Step 5: Solve for x
    x = 188,242,184.37/15,740
  6. Step 6: Final answer
    x = 11,959.48

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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.