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Finding the Fourth Proportional to 8,620.41, 12,905.55 and 6,409.08

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Solution

The fourth proportional to 8,620.41, 12,905.55 and 6,409.08 is: 9,594.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,620.41 : 12,905.55 = 6,409.08 : x
  2. Step 2: Convert to fraction form
    8,620.41/12,905.55 = 6,409.08/x
  3. Step 3: Cross multiply
    8,620.41x = 12,905.55 × 6,409.08
  4. Step 4: Simplify right side
    8,620.41x = 82,712,702.39
  5. Step 5: Solve for x
    x = 82,712,702.39/8,620.41
  6. Step 6: Final answer
    x = 9,594.98

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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.