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Finding the Fourth Proportional to 10,500.20, 15,735.90 and 8,556.20

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Solution

The fourth proportional to 10,500.20, 15,735.90 and 8,556.20 is: 12,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.20 : 15,735.90 = 8,556.20 : x
  2. Step 2: Convert to fraction form
    10,500.20/15,735.90 = 8,556.20/x
  3. Step 3: Cross multiply
    10,500.20x = 15,735.90 × 8,556.20
  4. Step 4: Simplify right side
    10,500.20x = 134,639,507.58
  5. Step 5: Solve for x
    x = 134,639,507.58/10,500.20
  6. Step 6: Final answer
    x = 12,822.57

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1.5x scale

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.