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Finding the Fourth Proportional to 6,476.64, 9,717.50 and 5,238.80

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Solution

The fourth proportional to 6,476.64, 9,717.50 and 5,238.80 is: 7,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.64 : 9,717.50 = 5,238.80 : x
  2. Step 2: Convert to fraction form
    6,476.64/9,717.50 = 5,238.80/x
  3. Step 3: Cross multiply
    6,476.64x = 9,717.50 × 5,238.80
  4. Step 4: Simplify right side
    6,476.64x = 50,907,964.22
  5. Step 5: Solve for x
    x = 50,907,964.22/6,476.64
  6. Step 6: Final answer
    x = 7,860.24

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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.