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Finding the Fourth Proportional to 5,686.56, 8,529.84 and 1,988.91

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Solution

The fourth proportional to 5,686.56, 8,529.84 and 1,988.91 is: 2,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.56 : 8,529.84 = 1,988.91 : x
  2. Step 2: Convert to fraction form
    5,686.56/8,529.84 = 1,988.91/x
  3. Step 3: Cross multiply
    5,686.56x = 8,529.84 × 1,988.91
  4. Step 4: Simplify right side
    5,686.56x = 16,965,084.07
  5. Step 5: Solve for x
    x = 16,965,084.07/5,686.56
  6. Step 6: Final answer
    x = 2,983.37

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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.