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Finding the Fourth Proportional to 7,665.98, 11,502.21 and 3,285.50

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Solution

The fourth proportional to 7,665.98, 11,502.21 and 3,285.50 is: 4,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.98 : 11,502.21 = 3,285.50 : x
  2. Step 2: Convert to fraction form
    7,665.98/11,502.21 = 3,285.50/x
  3. Step 3: Cross multiply
    7,665.98x = 11,502.21 × 3,285.50
  4. Step 4: Simplify right side
    7,665.98x = 37,790,510.96
  5. Step 5: Solve for x
    x = 37,790,510.96/7,665.98
  6. Step 6: Final answer
    x = 4,929.64

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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.