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Finding the Fourth Proportional to 15,756.34, 21,743.65 and 8,682.77

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Solution

The fourth proportional to 15,756.34, 21,743.65 and 8,682.77 is: 11,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.34 : 21,743.65 = 8,682.77 : x
  2. Step 2: Convert to fraction form
    15,756.34/21,743.65 = 8,682.77/x
  3. Step 3: Cross multiply
    15,756.34x = 21,743.65 × 8,682.77
  4. Step 4: Simplify right side
    15,756.34x = 188,794,959.78
  5. Step 5: Solve for x
    x = 188,794,959.78/15,756.34
  6. Step 6: Final answer
    x = 11,982.16

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1.5x scale

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.