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Finding the Fourth Proportional to 10,612.42, 15,918.53 and 6,453.57

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Solution

The fourth proportional to 10,612.42, 15,918.53 and 6,453.57 is: 9,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.42 : 15,918.53 = 6,453.57 : x
  2. Step 2: Convert to fraction form
    10,612.42/15,918.53 = 6,453.57/x
  3. Step 3: Cross multiply
    10,612.42x = 15,918.53 × 6,453.57
  4. Step 4: Simplify right side
    10,612.42x = 102,731,375.08
  5. Step 5: Solve for x
    x = 102,731,375.08/10,612.42
  6. Step 6: Final answer
    x = 9,680.30

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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.