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Finding the Fourth Proportional to 6,504.30, 9,711.90 and 5,629.50

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Solution

The fourth proportional to 6,504.30, 9,711.90 and 5,629.50 is: 8,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.30 : 9,711.90 = 5,629.50 : x
  2. Step 2: Convert to fraction form
    6,504.30/9,711.90 = 5,629.50/x
  3. Step 3: Cross multiply
    6,504.30x = 9,711.90 × 5,629.50
  4. Step 4: Simplify right side
    6,504.30x = 54,673,141.05
  5. Step 5: Solve for x
    x = 54,673,141.05/6,504.30
  6. Step 6: Final answer
    x = 8,405.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.