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Finding the Fourth Proportional to 10,877.60, 16,317.60 and 3,480.80

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Solution

The fourth proportional to 10,877.60, 16,317.60 and 3,480.80 is: 5,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.60 : 16,317.60 = 3,480.80 : x
  2. Step 2: Convert to fraction form
    10,877.60/16,317.60 = 3,480.80/x
  3. Step 3: Cross multiply
    10,877.60x = 16,317.60 × 3,480.80
  4. Step 4: Simplify right side
    10,877.60x = 56,798,302.08
  5. Step 5: Solve for x
    x = 56,798,302.08/10,877.60
  6. Step 6: Final answer
    x = 5,221.58

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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.