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Finding the Fourth Proportional to 6,374.09, 9,561.74 and 2,478.80

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Solution

The fourth proportional to 6,374.09, 9,561.74 and 2,478.80 is: 3,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.09 : 9,561.74 = 2,478.80 : x
  2. Step 2: Convert to fraction form
    6,374.09/9,561.74 = 2,478.80/x
  3. Step 3: Cross multiply
    6,374.09x = 9,561.74 × 2,478.80
  4. Step 4: Simplify right side
    6,374.09x = 23,701,580.91
  5. Step 5: Solve for x
    x = 23,701,580.91/6,374.09
  6. Step 6: Final answer
    x = 3,718.43

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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.