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Finding the Fourth Proportional to 8,570.09, 12,829.21 and 7,922.09

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Solution

The fourth proportional to 8,570.09, 12,829.21 and 7,922.09 is: 11,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.09 : 12,829.21 = 7,922.09 : x
  2. Step 2: Convert to fraction form
    8,570.09/12,829.21 = 7,922.09/x
  3. Step 3: Cross multiply
    8,570.09x = 12,829.21 × 7,922.09
  4. Step 4: Simplify right side
    8,570.09x = 101,634,156.25
  5. Step 5: Solve for x
    x = 101,634,156.25/8,570.09
  6. Step 6: Final answer
    x = 11,859.17

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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.