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Finding the Fourth Proportional to 8,400, 12,590.91 and 4,009.62

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Solution

The fourth proportional to 8,400, 12,590.91 and 4,009.62 is: 6,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400 : 12,590.91 = 4,009.62 : x
  2. Step 2: Convert to fraction form
    8,400/12,590.91 = 4,009.62/x
  3. Step 3: Cross multiply
    8,400x = 12,590.91 × 4,009.62
  4. Step 4: Simplify right side
    8,400x = 50,484,764.55
  5. Step 5: Solve for x
    x = 50,484,764.55/8,400
  6. Step 6: Final answer
    x = 6,010.09

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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.