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Finding the Fourth Proportional to 8,526, 12,794.40 and 3,909.12

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Solution

The fourth proportional to 8,526, 12,794.40 and 3,909.12 is: 5,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526 : 12,794.40 = 3,909.12 : x
  2. Step 2: Convert to fraction form
    8,526/12,794.40 = 3,909.12/x
  3. Step 3: Cross multiply
    8,526x = 12,794.40 × 3,909.12
  4. Step 4: Simplify right side
    8,526x = 50,014,844.93
  5. Step 5: Solve for x
    x = 50,014,844.93/8,526
  6. Step 6: Final answer
    x = 5,866.16

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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.