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Finding the Fourth Proportional to 3,539.98, 5,302.78 and 1,663.03

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Solution

The fourth proportional to 3,539.98, 5,302.78 and 1,663.03 is: 2,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.98 : 5,302.78 = 1,663.03 : x
  2. Step 2: Convert to fraction form
    3,539.98/5,302.78 = 1,663.03/x
  3. Step 3: Cross multiply
    3,539.98x = 5,302.78 × 1,663.03
  4. Step 4: Simplify right side
    3,539.98x = 8,818,664.81
  5. Step 5: Solve for x
    x = 8,818,664.81/3,539.98
  6. Step 6: Final answer
    x = 2,491.16

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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.