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Finding the Fourth Proportional to 8,355.96, 11,502 and 7,568.64

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Solution

The fourth proportional to 8,355.96, 11,502 and 7,568.64 is: 10,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.96 : 11,502 = 7,568.64 : x
  2. Step 2: Convert to fraction form
    8,355.96/11,502 = 7,568.64/x
  3. Step 3: Cross multiply
    8,355.96x = 11,502 × 7,568.64
  4. Step 4: Simplify right side
    8,355.96x = 87,054,497.28
  5. Step 5: Solve for x
    x = 87,054,497.28/8,355.96
  6. Step 6: Final answer
    x = 10,418.25

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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.