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Finding the Fourth Proportional to 4,318, 6,477.78 and 2,858.36

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Solution

The fourth proportional to 4,318, 6,477.78 and 2,858.36 is: 4,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,318 : 6,477.78 = 2,858.36 : x
  2. Step 2: Convert to fraction form
    4,318/6,477.78 = 2,858.36/x
  3. Step 3: Cross multiply
    4,318x = 6,477.78 × 2,858.36
  4. Step 4: Simplify right side
    4,318x = 18,515,827.24
  5. Step 5: Solve for x
    x = 18,515,827.24/4,318
  6. Step 6: Final answer
    x = 4,288.06

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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.