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Finding the Fourth Proportional to 3,488, 5,229.58 and 1,638.76

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Solution

The fourth proportional to 3,488, 5,229.58 and 1,638.76 is: 2,457.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488 : 5,229.58 = 1,638.76 : x
  2. Step 2: Convert to fraction form
    3,488/5,229.58 = 1,638.76/x
  3. Step 3: Cross multiply
    3,488x = 5,229.58 × 1,638.76
  4. Step 4: Simplify right side
    3,488x = 8,570,026.52
  5. Step 5: Solve for x
    x = 8,570,026.52/3,488
  6. Step 6: Final answer
    x = 2,457.00

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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.