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Finding the Fourth Proportional to 8,538.64, 12,786.54 and 5,409.16

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Solution

The fourth proportional to 8,538.64, 12,786.54 and 5,409.16 is: 8,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.64 : 12,786.54 = 5,409.16 : x
  2. Step 2: Convert to fraction form
    8,538.64/12,786.54 = 5,409.16/x
  3. Step 3: Cross multiply
    8,538.64x = 12,786.54 × 5,409.16
  4. Step 4: Simplify right side
    8,538.64x = 69,164,440.71
  5. Step 5: Solve for x
    x = 69,164,440.71/8,538.64
  6. Step 6: Final answer
    x = 8,100.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.