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Finding the Fourth Proportional to 3,585.22, 5,376.87 and 988.30

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Solution

The fourth proportional to 3,585.22, 5,376.87 and 988.30 is: 1,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.22 : 5,376.87 = 988.30 : x
  2. Step 2: Convert to fraction form
    3,585.22/5,376.87 = 988.30/x
  3. Step 3: Cross multiply
    3,585.22x = 5,376.87 × 988.30
  4. Step 4: Simplify right side
    3,585.22x = 5,313,960.62
  5. Step 5: Solve for x
    x = 5,313,960.62/3,585.22
  6. Step 6: Final answer
    x = 1,482.19

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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.