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Finding the Fourth Proportional to 6,307, 8,703.66 and 3,512.68

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Solution

The fourth proportional to 6,307, 8,703.66 and 3,512.68 is: 4,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307 : 8,703.66 = 3,512.68 : x
  2. Step 2: Convert to fraction form
    6,307/8,703.66 = 3,512.68/x
  3. Step 3: Cross multiply
    6,307x = 8,703.66 × 3,512.68
  4. Step 4: Simplify right side
    6,307x = 30,573,172.41
  5. Step 5: Solve for x
    x = 30,573,172.41/6,307
  6. Step 6: Final answer
    x = 4,847.50

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1.5x scale

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.