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Finding the Fourth Proportional to 2,389.34, 3,584.03 and 657.96

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Solution

The fourth proportional to 2,389.34, 3,584.03 and 657.96 is: 986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.34 : 3,584.03 = 657.96 : x
  2. Step 2: Convert to fraction form
    2,389.34/3,584.03 = 657.96/x
  3. Step 3: Cross multiply
    2,389.34x = 3,584.03 × 657.96
  4. Step 4: Simplify right side
    2,389.34x = 2,358,145.09
  5. Step 5: Solve for x
    x = 2,358,145.09/2,389.34
  6. Step 6: Final answer
    x = 986.95

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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.