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Finding the Fourth Proportional to 5,309.67, 7,965.86 and 3,120.24

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Solution

The fourth proportional to 5,309.67, 7,965.86 and 3,120.24 is: 4,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.67 : 7,965.86 = 3,120.24 : x
  2. Step 2: Convert to fraction form
    5,309.67/7,965.86 = 3,120.24/x
  3. Step 3: Cross multiply
    5,309.67x = 7,965.86 × 3,120.24
  4. Step 4: Simplify right side
    5,309.67x = 24,855,379.41
  5. Step 5: Solve for x
    x = 24,855,379.41/5,309.67
  6. Step 6: Final answer
    x = 4,681.15

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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.