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Finding the Fourth Proportional to 6,412.84, 9,612.06 and 4,195.92

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Solution

The fourth proportional to 6,412.84, 9,612.06 and 4,195.92 is: 6,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.84 : 9,612.06 = 4,195.92 : x
  2. Step 2: Convert to fraction form
    6,412.84/9,612.06 = 4,195.92/x
  3. Step 3: Cross multiply
    6,412.84x = 9,612.06 × 4,195.92
  4. Step 4: Simplify right side
    6,412.84x = 40,331,455.11
  5. Step 5: Solve for x
    x = 40,331,455.11/6,412.84
  6. Step 6: Final answer
    x = 6,289.17

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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.