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Finding the Fourth Proportional to 6,509.55, 9,767.16 and 3,220.77

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Solution

The fourth proportional to 6,509.55, 9,767.16 and 3,220.77 is: 4,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.55 : 9,767.16 = 3,220.77 : x
  2. Step 2: Convert to fraction form
    6,509.55/9,767.16 = 3,220.77/x
  3. Step 3: Cross multiply
    6,509.55x = 9,767.16 × 3,220.77
  4. Step 4: Simplify right side
    6,509.55x = 31,457,775.91
  5. Step 5: Solve for x
    x = 31,457,775.91/6,509.55
  6. Step 6: Final answer
    x = 4,832.56

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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.