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Finding the Fourth Proportional to 8,678.56, 13,016.64 and 2,835.24

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Solution

The fourth proportional to 8,678.56, 13,016.64 and 2,835.24 is: 4,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.56 : 13,016.64 = 2,835.24 : x
  2. Step 2: Convert to fraction form
    8,678.56/13,016.64 = 2,835.24/x
  3. Step 3: Cross multiply
    8,678.56x = 13,016.64 × 2,835.24
  4. Step 4: Simplify right side
    8,678.56x = 36,905,298.39
  5. Step 5: Solve for x
    x = 36,905,298.39/8,678.56
  6. Step 6: Final answer
    x = 4,252.47

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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.