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Finding the Fourth Proportional to 6,389.60, 9,568.80 and 5,274.24

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Solution

The fourth proportional to 6,389.60, 9,568.80 and 5,274.24 is: 7,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.60 : 9,568.80 = 5,274.24 : x
  2. Step 2: Convert to fraction form
    6,389.60/9,568.80 = 5,274.24/x
  3. Step 3: Cross multiply
    6,389.60x = 9,568.80 × 5,274.24
  4. Step 4: Simplify right side
    6,389.60x = 50,468,147.71
  5. Step 5: Solve for x
    x = 50,468,147.71/6,389.60
  6. Step 6: Final answer
    x = 7,898.48

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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.