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Finding the Fourth Proportional to 8,339.44, 12,509.16 and 3,409.08

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Solution

The fourth proportional to 8,339.44, 12,509.16 and 3,409.08 is: 5,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.44 : 12,509.16 = 3,409.08 : x
  2. Step 2: Convert to fraction form
    8,339.44/12,509.16 = 3,409.08/x
  3. Step 3: Cross multiply
    8,339.44x = 12,509.16 × 3,409.08
  4. Step 4: Simplify right side
    8,339.44x = 42,644,727.17
  5. Step 5: Solve for x
    x = 42,644,727.17/8,339.44
  6. Step 6: Final answer
    x = 5,113.62

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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.