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Finding the Fourth Proportional to 6,614.50, 9,915.06 and 4,151.05

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Solution

The fourth proportional to 6,614.50, 9,915.06 and 4,151.05 is: 6,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.50 : 9,915.06 = 4,151.05 : x
  2. Step 2: Convert to fraction form
    6,614.50/9,915.06 = 4,151.05/x
  3. Step 3: Cross multiply
    6,614.50x = 9,915.06 × 4,151.05
  4. Step 4: Simplify right side
    6,614.50x = 41,157,909.81
  5. Step 5: Solve for x
    x = 41,157,909.81/6,614.50
  6. Step 6: Final answer
    x = 6,222.38

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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.