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Finding the Fourth Proportional to 6,520.40, 9,764.40 and 5,224.40

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Solution

The fourth proportional to 6,520.40, 9,764.40 and 5,224.40 is: 7,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.40 : 9,764.40 = 5,224.40 : x
  2. Step 2: Convert to fraction form
    6,520.40/9,764.40 = 5,224.40/x
  3. Step 3: Cross multiply
    6,520.40x = 9,764.40 × 5,224.40
  4. Step 4: Simplify right side
    6,520.40x = 51,013,131.36
  5. Step 5: Solve for x
    x = 51,013,131.36/6,520.40
  6. Step 6: Final answer
    x = 7,823.62

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1.5x scale

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.