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Finding the Fourth Proportional to 5,402.88, 8,102.40 and 1,704

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Solution

The fourth proportional to 5,402.88, 8,102.40 and 1,704 is: 2,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.88 : 8,102.40 = 1,704 : x
  2. Step 2: Convert to fraction form
    5,402.88/8,102.40 = 1,704/x
  3. Step 3: Cross multiply
    5,402.88x = 8,102.40 × 1,704
  4. Step 4: Simplify right side
    5,402.88x = 13,806,489.60
  5. Step 5: Solve for x
    x = 13,806,489.60/5,402.88
  6. Step 6: Final answer
    x = 2,555.39

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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.