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Finding the Fourth Proportional to 8,119.76, 11,207 and 5,133.68

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Solution

The fourth proportional to 8,119.76, 11,207 and 5,133.68 is: 7,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.76 : 11,207 = 5,133.68 : x
  2. Step 2: Convert to fraction form
    8,119.76/11,207 = 5,133.68/x
  3. Step 3: Cross multiply
    8,119.76x = 11,207 × 5,133.68
  4. Step 4: Simplify right side
    8,119.76x = 57,533,151.76
  5. Step 5: Solve for x
    x = 57,533,151.76/8,119.76
  6. Step 6: Final answer
    x = 7,085.57

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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.