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Finding the Fourth Proportional to 5,665.65, 8,506.80 and 3,171.72

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Solution

The fourth proportional to 5,665.65, 8,506.80 and 3,171.72 is: 4,762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.65 : 8,506.80 = 3,171.72 : x
  2. Step 2: Convert to fraction form
    5,665.65/8,506.80 = 3,171.72/x
  3. Step 3: Cross multiply
    5,665.65x = 8,506.80 × 3,171.72
  4. Step 4: Simplify right side
    5,665.65x = 26,981,187.70
  5. Step 5: Solve for x
    x = 26,981,187.70/5,665.65
  6. Step 6: Final answer
    x = 4,762.24

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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.