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Finding the Fourth Proportional to 6,544.80, 9,021.72 and 5,216.40

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Solution

The fourth proportional to 6,544.80, 9,021.72 and 5,216.40 is: 7,190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.80 : 9,021.72 = 5,216.40 : x
  2. Step 2: Convert to fraction form
    6,544.80/9,021.72 = 5,216.40/x
  3. Step 3: Cross multiply
    6,544.80x = 9,021.72 × 5,216.40
  4. Step 4: Simplify right side
    6,544.80x = 47,060,900.21
  5. Step 5: Solve for x
    x = 47,060,900.21/6,544.80
  6. Step 6: Final answer
    x = 7,190.58

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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.