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Finding the Fourth Proportional to 6,393.40, 9,577.54 and 5,696.80

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Solution

The fourth proportional to 6,393.40, 9,577.54 and 5,696.80 is: 8,534.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.40 : 9,577.54 = 5,696.80 : x
  2. Step 2: Convert to fraction form
    6,393.40/9,577.54 = 5,696.80/x
  3. Step 3: Cross multiply
    6,393.40x = 9,577.54 × 5,696.80
  4. Step 4: Simplify right side
    6,393.40x = 54,561,329.87
  5. Step 5: Solve for x
    x = 54,561,329.87/6,393.40
  6. Step 6: Final answer
    x = 8,534.01

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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.