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Finding the Fourth Proportional to 5,409.12, 8,164.53 and 5,409.12

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Solution

The fourth proportional to 5,409.12, 8,164.53 and 5,409.12 is: 8,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.12 : 8,164.53 = 5,409.12 : x
  2. Step 2: Convert to fraction form
    5,409.12/8,164.53 = 5,409.12/x
  3. Step 3: Cross multiply
    5,409.12x = 8,164.53 × 5,409.12
  4. Step 4: Simplify right side
    5,409.12x = 44,162,922.51
  5. Step 5: Solve for x
    x = 44,162,922.51/5,409.12
  6. Step 6: Final answer
    x = 8,164.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.