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Finding the Fourth Proportional to 6,509.80, 8,974.50 and 4,410.28

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Solution

The fourth proportional to 6,509.80, 8,974.50 and 4,410.28 is: 6,080.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.80 : 8,974.50 = 4,410.28 : x
  2. Step 2: Convert to fraction form
    6,509.80/8,974.50 = 4,410.28/x
  3. Step 3: Cross multiply
    6,509.80x = 8,974.50 × 4,410.28
  4. Step 4: Simplify right side
    6,509.80x = 39,580,057.86
  5. Step 5: Solve for x
    x = 39,580,057.86/6,509.80
  6. Step 6: Final answer
    x = 6,080.07

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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.