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Finding the Fourth Proportional to 6,297.55, 9,445.92 and 1,915.05

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Solution

The fourth proportional to 6,297.55, 9,445.92 and 1,915.05 is: 2,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.55 : 9,445.92 = 1,915.05 : x
  2. Step 2: Convert to fraction form
    6,297.55/9,445.92 = 1,915.05/x
  3. Step 3: Cross multiply
    6,297.55x = 9,445.92 × 1,915.05
  4. Step 4: Simplify right side
    6,297.55x = 18,089,409.10
  5. Step 5: Solve for x
    x = 18,089,409.10/6,297.55
  6. Step 6: Final answer
    x = 2,872.45

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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.