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Finding the Fourth Proportional to 5,102.60, 7,652.10 and 1,638.68

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Solution

The fourth proportional to 5,102.60, 7,652.10 and 1,638.68 is: 2,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.60 : 7,652.10 = 1,638.68 : x
  2. Step 2: Convert to fraction form
    5,102.60/7,652.10 = 1,638.68/x
  3. Step 3: Cross multiply
    5,102.60x = 7,652.10 × 1,638.68
  4. Step 4: Simplify right side
    5,102.60x = 12,539,343.23
  5. Step 5: Solve for x
    x = 12,539,343.23/5,102.60
  6. Step 6: Final answer
    x = 2,457.44

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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.