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Finding the Fourth Proportional to 8,705.89, 13,047.27 and 4,549.42

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Solution

The fourth proportional to 8,705.89, 13,047.27 and 4,549.42 is: 6,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.89 : 13,047.27 = 4,549.42 : x
  2. Step 2: Convert to fraction form
    8,705.89/13,047.27 = 4,549.42/x
  3. Step 3: Cross multiply
    8,705.89x = 13,047.27 × 4,549.42
  4. Step 4: Simplify right side
    8,705.89x = 59,357,511.08
  5. Step 5: Solve for x
    x = 59,357,511.08/8,705.89
  6. Step 6: Final answer
    x = 6,818.09

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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.