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Finding the Fourth Proportional to 6,452, 8,903.76 and 3,657.68

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Solution

The fourth proportional to 6,452, 8,903.76 and 3,657.68 is: 5,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452 : 8,903.76 = 3,657.68 : x
  2. Step 2: Convert to fraction form
    6,452/8,903.76 = 3,657.68/x
  3. Step 3: Cross multiply
    6,452x = 8,903.76 × 3,657.68
  4. Step 4: Simplify right side
    6,452x = 32,567,104.88
  5. Step 5: Solve for x
    x = 32,567,104.88/6,452
  6. Step 6: Final answer
    x = 5,047.60

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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.