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Finding the Fourth Proportional to 3,488.76, 5,230.80 and 1,638.84

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Solution

The fourth proportional to 3,488.76, 5,230.80 and 1,638.84 is: 2,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.76 : 5,230.80 = 1,638.84 : x
  2. Step 2: Convert to fraction form
    3,488.76/5,230.80 = 1,638.84/x
  3. Step 3: Cross multiply
    3,488.76x = 5,230.80 × 1,638.84
  4. Step 4: Simplify right side
    3,488.76x = 8,572,444.27
  5. Step 5: Solve for x
    x = 8,572,444.27/3,488.76
  6. Step 6: Final answer
    x = 2,457.16

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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.