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Finding the Fourth Proportional to 10,861.65, 16,319.70 and 6,914.61

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Solution

The fourth proportional to 10,861.65, 16,319.70 and 6,914.61 is: 10,389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.65 : 16,319.70 = 6,914.61 : x
  2. Step 2: Convert to fraction form
    10,861.65/16,319.70 = 6,914.61/x
  3. Step 3: Cross multiply
    10,861.65x = 16,319.70 × 6,914.61
  4. Step 4: Simplify right side
    10,861.65x = 112,844,360.82
  5. Step 5: Solve for x
    x = 112,844,360.82/10,861.65
  6. Step 6: Final answer
    x = 10,389.25

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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.