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Finding the Fourth Proportional to 6,497.60, 8,960.16 and 3,845.12

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Solution

The fourth proportional to 6,497.60, 8,960.16 and 3,845.12 is: 5,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.60 : 8,960.16 = 3,845.12 : x
  2. Step 2: Convert to fraction form
    6,497.60/8,960.16 = 3,845.12/x
  3. Step 3: Cross multiply
    6,497.60x = 8,960.16 × 3,845.12
  4. Step 4: Simplify right side
    6,497.60x = 34,452,890.42
  5. Step 5: Solve for x
    x = 34,452,890.42/6,497.60
  6. Step 6: Final answer
    x = 5,302.40

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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.