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Finding the Fourth Proportional to 8,390, 11,578.21 and 4,613.41

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Solution

The fourth proportional to 8,390, 11,578.21 and 4,613.41 is: 6,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390 : 11,578.21 = 4,613.41 : x
  2. Step 2: Convert to fraction form
    8,390/11,578.21 = 4,613.41/x
  3. Step 3: Cross multiply
    8,390x = 11,578.21 × 4,613.41
  4. Step 4: Simplify right side
    8,390x = 53,414,948.84
  5. Step 5: Solve for x
    x = 53,414,948.84/8,390
  6. Step 6: Final answer
    x = 6,366.50

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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.