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Finding the Fourth Proportional to 6,400.30, 8,814.02 and 5,496.80

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Solution

The fourth proportional to 6,400.30, 8,814.02 and 5,496.80 is: 7,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.30 : 8,814.02 = 5,496.80 : x
  2. Step 2: Convert to fraction form
    6,400.30/8,814.02 = 5,496.80/x
  3. Step 3: Cross multiply
    6,400.30x = 8,814.02 × 5,496.80
  4. Step 4: Simplify right side
    6,400.30x = 48,448,905.14
  5. Step 5: Solve for x
    x = 48,448,905.14/6,400.30
  6. Step 6: Final answer
    x = 7,569.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.