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Finding the Fourth Proportional to 8,412, 12,609.45 and 3,484.32

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Solution

The fourth proportional to 8,412, 12,609.45 and 3,484.32 is: 5,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412 : 12,609.45 = 3,484.32 : x
  2. Step 2: Convert to fraction form
    8,412/12,609.45 = 3,484.32/x
  3. Step 3: Cross multiply
    8,412x = 12,609.45 × 3,484.32
  4. Step 4: Simplify right side
    8,412x = 43,935,358.82
  5. Step 5: Solve for x
    x = 43,935,358.82/8,412
  6. Step 6: Final answer
    x = 5,222.94

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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.