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Finding the Fourth Proportional to 6,471.34, 8,929.08 and 4,112.62

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Solution

The fourth proportional to 6,471.34, 8,929.08 and 4,112.62 is: 5,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.34 : 8,929.08 = 4,112.62 : x
  2. Step 2: Convert to fraction form
    6,471.34/8,929.08 = 4,112.62/x
  3. Step 3: Cross multiply
    6,471.34x = 8,929.08 × 4,112.62
  4. Step 4: Simplify right side
    6,471.34x = 36,721,912.99
  5. Step 5: Solve for x
    x = 36,721,912.99/6,471.34
  6. Step 6: Final answer
    x = 5,674.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.