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Finding the Fourth Proportional to 8,580.40, 12,877.80 and 3,907.60

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Solution

The fourth proportional to 8,580.40, 12,877.80 and 3,907.60 is: 5,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.40 : 12,877.80 = 3,907.60 : x
  2. Step 2: Convert to fraction form
    8,580.40/12,877.80 = 3,907.60/x
  3. Step 3: Cross multiply
    8,580.40x = 12,877.80 × 3,907.60
  4. Step 4: Simplify right side
    8,580.40x = 50,321,291.28
  5. Step 5: Solve for x
    x = 50,321,291.28/8,580.40
  6. Step 6: Final answer
    x = 5,864.68

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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.