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Finding the Fourth Proportional to 6,357.80, 9,509.70 and 5,704.40

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Solution

The fourth proportional to 6,357.80, 9,509.70 and 5,704.40 is: 8,532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.80 : 9,509.70 = 5,704.40 : x
  2. Step 2: Convert to fraction form
    6,357.80/9,509.70 = 5,704.40/x
  3. Step 3: Cross multiply
    6,357.80x = 9,509.70 × 5,704.40
  4. Step 4: Simplify right side
    6,357.80x = 54,247,132.68
  5. Step 5: Solve for x
    x = 54,247,132.68/6,357.80
  6. Step 6: Final answer
    x = 8,532.37

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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.