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Finding the Fourth Proportional to 8,548.84, 12,825.12 and 2,705.50

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Solution

The fourth proportional to 8,548.84, 12,825.12 and 2,705.50 is: 4,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.84 : 12,825.12 = 2,705.50 : x
  2. Step 2: Convert to fraction form
    8,548.84/12,825.12 = 2,705.50/x
  3. Step 3: Cross multiply
    8,548.84x = 12,825.12 × 2,705.50
  4. Step 4: Simplify right side
    8,548.84x = 34,698,362.16
  5. Step 5: Solve for x
    x = 34,698,362.16/8,548.84
  6. Step 6: Final answer
    x = 4,058.84

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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.