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Finding the Fourth Proportional to 3,988.86, 5,984.32 and 1,522.34

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Solution

The fourth proportional to 3,988.86, 5,984.32 and 1,522.34 is: 2,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.86 : 5,984.32 = 1,522.34 : x
  2. Step 2: Convert to fraction form
    3,988.86/5,984.32 = 1,522.34/x
  3. Step 3: Cross multiply
    3,988.86x = 5,984.32 × 1,522.34
  4. Step 4: Simplify right side
    3,988.86x = 9,110,169.71
  5. Step 5: Solve for x
    x = 9,110,169.71/3,988.86
  6. Step 6: Final answer
    x = 2,283.90

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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.