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Finding the Fourth Proportional to 5,534.68, 8,302 and 1,638.77

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Solution

The fourth proportional to 5,534.68, 8,302 and 1,638.77 is: 2,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.68 : 8,302 = 1,638.77 : x
  2. Step 2: Convert to fraction form
    5,534.68/8,302 = 1,638.77/x
  3. Step 3: Cross multiply
    5,534.68x = 8,302 × 1,638.77
  4. Step 4: Simplify right side
    5,534.68x = 13,605,068.54
  5. Step 5: Solve for x
    x = 13,605,068.54/5,534.68
  6. Step 6: Final answer
    x = 2,458.15

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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.