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Finding the Fourth Proportional to 6,450.72, 9,678.72 and 2,291.52

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Solution

The fourth proportional to 6,450.72, 9,678.72 and 2,291.52 is: 3,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.72 : 9,678.72 = 2,291.52 : x
  2. Step 2: Convert to fraction form
    6,450.72/9,678.72 = 2,291.52/x
  3. Step 3: Cross multiply
    6,450.72x = 9,678.72 × 2,291.52
  4. Step 4: Simplify right side
    6,450.72x = 22,178,980.45
  5. Step 5: Solve for x
    x = 22,178,980.45/6,450.72
  6. Step 6: Final answer
    x = 3,438.22

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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.