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Finding the Fourth Proportional to 8,548.60, 12,821.70 and 2,705.80

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Solution

The fourth proportional to 8,548.60, 12,821.70 and 2,705.80 is: 4,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.60 : 12,821.70 = 2,705.80 : x
  2. Step 2: Convert to fraction form
    8,548.60/12,821.70 = 2,705.80/x
  3. Step 3: Cross multiply
    8,548.60x = 12,821.70 × 2,705.80
  4. Step 4: Simplify right side
    8,548.60x = 34,692,955.86
  5. Step 5: Solve for x
    x = 34,692,955.86/8,548.60
  6. Step 6: Final answer
    x = 4,058.32

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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.