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Finding the Fourth Proportional to 5,101.60, 7,650.60 and 1,637.68

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Solution

The fourth proportional to 5,101.60, 7,650.60 and 1,637.68 is: 2,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.60 : 7,650.60 = 1,637.68 : x
  2. Step 2: Convert to fraction form
    5,101.60/7,650.60 = 1,637.68/x
  3. Step 3: Cross multiply
    5,101.60x = 7,650.60 × 1,637.68
  4. Step 4: Simplify right side
    5,101.60x = 12,529,234.61
  5. Step 5: Solve for x
    x = 12,529,234.61/5,101.60
  6. Step 6: Final answer
    x = 2,455.94

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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.