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Finding the Fourth Proportional to 8,767.85, 12,109.91 and 8,057.07

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Solution

The fourth proportional to 8,767.85, 12,109.91 and 8,057.07 is: 11,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.85 : 12,109.91 = 8,057.07 : x
  2. Step 2: Convert to fraction form
    8,767.85/12,109.91 = 8,057.07/x
  3. Step 3: Cross multiply
    8,767.85x = 12,109.91 × 8,057.07
  4. Step 4: Simplify right side
    8,767.85x = 97,570,352.28
  5. Step 5: Solve for x
    x = 97,570,352.28/8,767.85
  6. Step 6: Final answer
    x = 11,128.20

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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.