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Finding the Fourth Proportional to 6,396.40, 9,582.04 and 5,699.80

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Solution

The fourth proportional to 6,396.40, 9,582.04 and 5,699.80 is: 8,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.40 : 9,582.04 = 5,699.80 : x
  2. Step 2: Convert to fraction form
    6,396.40/9,582.04 = 5,699.80/x
  3. Step 3: Cross multiply
    6,396.40x = 9,582.04 × 5,699.80
  4. Step 4: Simplify right side
    6,396.40x = 54,615,711.59
  5. Step 5: Solve for x
    x = 54,615,711.59/6,396.40
  6. Step 6: Final answer
    x = 8,538.51

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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.