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Finding the Fourth Proportional to 11,379.50, 15,703.71 and 6,411.50

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Solution

The fourth proportional to 11,379.50, 15,703.71 and 6,411.50 is: 8,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.50 : 15,703.71 = 6,411.50 : x
  2. Step 2: Convert to fraction form
    11,379.50/15,703.71 = 6,411.50/x
  3. Step 3: Cross multiply
    11,379.50x = 15,703.71 × 6,411.50
  4. Step 4: Simplify right side
    11,379.50x = 100,684,336.67
  5. Step 5: Solve for x
    x = 100,684,336.67/11,379.50
  6. Step 6: Final answer
    x = 8,847.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.