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Finding the Fourth Proportional to 6,556.64, 9,835.32 and 4,262.72

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Solution

The fourth proportional to 6,556.64, 9,835.32 and 4,262.72 is: 6,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.64 : 9,835.32 = 4,262.72 : x
  2. Step 2: Convert to fraction form
    6,556.64/9,835.32 = 4,262.72/x
  3. Step 3: Cross multiply
    6,556.64x = 9,835.32 × 4,262.72
  4. Step 4: Simplify right side
    6,556.64x = 41,925,215.27
  5. Step 5: Solve for x
    x = 41,925,215.27/6,556.64
  6. Step 6: Final answer
    x = 6,394.31

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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.