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Finding the Fourth Proportional to 8,209.76, 12,303.09 and 6,352.32

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Solution

The fourth proportional to 8,209.76, 12,303.09 and 6,352.32 is: 9,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.76 : 12,303.09 = 6,352.32 : x
  2. Step 2: Convert to fraction form
    8,209.76/12,303.09 = 6,352.32/x
  3. Step 3: Cross multiply
    8,209.76x = 12,303.09 × 6,352.32
  4. Step 4: Simplify right side
    8,209.76x = 78,153,210.81
  5. Step 5: Solve for x
    x = 78,153,210.81/8,209.76
  6. Step 6: Final answer
    x = 9,519.55

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1.5x scale

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.