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Finding the Fourth Proportional to 6,400.47, 9,546.26 and 6,289.71

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Solution

The fourth proportional to 6,400.47, 9,546.26 and 6,289.71 is: 9,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.47 : 9,546.26 = 6,289.71 : x
  2. Step 2: Convert to fraction form
    6,400.47/9,546.26 = 6,289.71/x
  3. Step 3: Cross multiply
    6,400.47x = 9,546.26 × 6,289.71
  4. Step 4: Simplify right side
    6,400.47x = 60,043,175.12
  5. Step 5: Solve for x
    x = 60,043,175.12/6,400.47
  6. Step 6: Final answer
    x = 9,381.05

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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.