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Finding the Fourth Proportional to 8,028, 11,066.49 and 6,902.91

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Solution

The fourth proportional to 8,028, 11,066.49 and 6,902.91 is: 9,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,028 : 11,066.49 = 6,902.91 : x
  2. Step 2: Convert to fraction form
    8,028/11,066.49 = 6,902.91/x
  3. Step 3: Cross multiply
    8,028x = 11,066.49 × 6,902.91
  4. Step 4: Simplify right side
    8,028x = 76,390,984.49
  5. Step 5: Solve for x
    x = 76,390,984.49/8,028
  6. Step 6: Final answer
    x = 9,515.57

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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.