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Finding the Fourth Proportional to 8,705.56, 13,054 and 2,861.16

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Solution

The fourth proportional to 8,705.56, 13,054 and 2,861.16 is: 4,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.56 : 13,054 = 2,861.16 : x
  2. Step 2: Convert to fraction form
    8,705.56/13,054 = 2,861.16/x
  3. Step 3: Cross multiply
    8,705.56x = 13,054 × 2,861.16
  4. Step 4: Simplify right side
    8,705.56x = 37,349,582.64
  5. Step 5: Solve for x
    x = 37,349,582.64/8,705.56
  6. Step 6: Final answer
    x = 4,290.31

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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.