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Finding the Fourth Proportional to 6,520.40, 9,767.40 and 4,047.92

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Solution

The fourth proportional to 6,520.40, 9,767.40 and 4,047.92 is: 6,063.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.40 : 9,767.40 = 4,047.92 : x
  2. Step 2: Convert to fraction form
    6,520.40/9,767.40 = 4,047.92/x
  3. Step 3: Cross multiply
    6,520.40x = 9,767.40 × 4,047.92
  4. Step 4: Simplify right side
    6,520.40x = 39,537,653.81
  5. Step 5: Solve for x
    x = 39,537,653.81/6,520.40
  6. Step 6: Final answer
    x = 6,063.69

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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.