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Finding the Fourth Proportional to 10,861.42, 16,319.46 and 6,914.45

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Solution

The fourth proportional to 10,861.42, 16,319.46 and 6,914.45 is: 10,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.42 : 16,319.46 = 6,914.45 : x
  2. Step 2: Convert to fraction form
    10,861.42/16,319.46 = 6,914.45/x
  3. Step 3: Cross multiply
    10,861.42x = 16,319.46 × 6,914.45
  4. Step 4: Simplify right side
    10,861.42x = 112,840,124.25
  5. Step 5: Solve for x
    x = 112,840,124.25/10,861.42
  6. Step 6: Final answer
    x = 10,389.08

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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.