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Finding the Fourth Proportional to 3,584.13, 5,376.50 and 987.06

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Solution

The fourth proportional to 3,584.13, 5,376.50 and 987.06 is: 1,480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.13 : 5,376.50 = 987.06 : x
  2. Step 2: Convert to fraction form
    3,584.13/5,376.50 = 987.06/x
  3. Step 3: Cross multiply
    3,584.13x = 5,376.50 × 987.06
  4. Step 4: Simplify right side
    3,584.13x = 5,306,928.09
  5. Step 5: Solve for x
    x = 5,306,928.09/3,584.13
  6. Step 6: Final answer
    x = 1,480.67

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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.