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Finding the Fourth Proportional to 5,583.39, 8,374 and 1,686.88

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Solution

The fourth proportional to 5,583.39, 8,374 and 1,686.88 is: 2,529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.39 : 8,374 = 1,686.88 : x
  2. Step 2: Convert to fraction form
    5,583.39/8,374 = 1,686.88/x
  3. Step 3: Cross multiply
    5,583.39x = 8,374 × 1,686.88
  4. Step 4: Simplify right side
    5,583.39x = 14,125,933.12
  5. Step 5: Solve for x
    x = 14,125,933.12/5,583.39
  6. Step 6: Final answer
    x = 2,529.99

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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.