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Finding the Fourth Proportional to 5,103.08, 7,654.08 and 1,640.06

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Solution

The fourth proportional to 5,103.08, 7,654.08 and 1,640.06 is: 2,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.08 : 7,654.08 = 1,640.06 : x
  2. Step 2: Convert to fraction form
    5,103.08/7,654.08 = 1,640.06/x
  3. Step 3: Cross multiply
    5,103.08x = 7,654.08 × 1,640.06
  4. Step 4: Simplify right side
    5,103.08x = 12,553,150.44
  5. Step 5: Solve for x
    x = 12,553,150.44/5,103.08
  6. Step 6: Final answer
    x = 2,459.92

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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.