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Finding the Fourth Proportional to 12,303.08, 18,424.86 and 8,609

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Solution

The fourth proportional to 12,303.08, 18,424.86 and 8,609 is: 12,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.08 : 18,424.86 = 8,609 : x
  2. Step 2: Convert to fraction form
    12,303.08/18,424.86 = 8,609/x
  3. Step 3: Cross multiply
    12,303.08x = 18,424.86 × 8,609
  4. Step 4: Simplify right side
    12,303.08x = 158,619,619.74
  5. Step 5: Solve for x
    x = 158,619,619.74/12,303.08
  6. Step 6: Final answer
    x = 12,892.68

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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.