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Finding the Fourth Proportional to 6,145.86, 9,220.31 and 1,763.66

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Solution

The fourth proportional to 6,145.86, 9,220.31 and 1,763.66 is: 2,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.86 : 9,220.31 = 1,763.66 : x
  2. Step 2: Convert to fraction form
    6,145.86/9,220.31 = 1,763.66/x
  3. Step 3: Cross multiply
    6,145.86x = 9,220.31 × 1,763.66
  4. Step 4: Simplify right side
    6,145.86x = 16,261,491.93
  5. Step 5: Solve for x
    x = 16,261,491.93/6,145.86
  6. Step 6: Final answer
    x = 2,645.93

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Double scale
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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.