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Finding the Fourth Proportional to 6,381.65, 9,572.47 and 1,764.65

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Solution

The fourth proportional to 6,381.65, 9,572.47 and 1,764.65 is: 2,646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.65 : 9,572.47 = 1,764.65 : x
  2. Step 2: Convert to fraction form
    6,381.65/9,572.47 = 1,764.65/x
  3. Step 3: Cross multiply
    6,381.65x = 9,572.47 × 1,764.65
  4. Step 4: Simplify right side
    6,381.65x = 16,892,059.19
  5. Step 5: Solve for x
    x = 16,892,059.19/6,381.65
  6. Step 6: Final answer
    x = 2,646.97

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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.