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Finding the Fourth Proportional to 5,855, 8,785.96 and 2,159.80

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Solution

The fourth proportional to 5,855, 8,785.96 and 2,159.80 is: 3,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855 : 8,785.96 = 2,159.80 : x
  2. Step 2: Convert to fraction form
    5,855/8,785.96 = 2,159.80/x
  3. Step 3: Cross multiply
    5,855x = 8,785.96 × 2,159.80
  4. Step 4: Simplify right side
    5,855x = 18,975,916.41
  5. Step 5: Solve for x
    x = 18,975,916.41/5,855
  6. Step 6: Final answer
    x = 3,240.98

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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.