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Finding the Fourth Proportional to 8,389.98, 11,578.16 and 4,853.41

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Solution

The fourth proportional to 8,389.98, 11,578.16 and 4,853.41 is: 6,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.98 : 11,578.16 = 4,853.41 : x
  2. Step 2: Convert to fraction form
    8,389.98/11,578.16 = 4,853.41/x
  3. Step 3: Cross multiply
    8,389.98x = 11,578.16 × 4,853.41
  4. Step 4: Simplify right side
    8,389.98x = 56,193,540.71
  5. Step 5: Solve for x
    x = 56,193,540.71/8,389.98
  6. Step 6: Final answer
    x = 6,697.70

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Half scale
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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.