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Finding the Fourth Proportional to 6,460.42, 8,915.38 and 3,773.50

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Solution

The fourth proportional to 6,460.42, 8,915.38 and 3,773.50 is: 5,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.42 : 8,915.38 = 3,773.50 : x
  2. Step 2: Convert to fraction form
    6,460.42/8,915.38 = 3,773.50/x
  3. Step 3: Cross multiply
    6,460.42x = 8,915.38 × 3,773.50
  4. Step 4: Simplify right side
    6,460.42x = 33,642,186.43
  5. Step 5: Solve for x
    x = 33,642,186.43/6,460.42
  6. Step 6: Final answer
    x = 5,207.43

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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.