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Finding the Fourth Proportional to 3,639.54, 5,459.88 and 1,330.50

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Solution

The fourth proportional to 3,639.54, 5,459.88 and 1,330.50 is: 1,995.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.54 : 5,459.88 = 1,330.50 : x
  2. Step 2: Convert to fraction form
    3,639.54/5,459.88 = 1,330.50/x
  3. Step 3: Cross multiply
    3,639.54x = 5,459.88 × 1,330.50
  4. Step 4: Simplify right side
    3,639.54x = 7,264,370.34
  5. Step 5: Solve for x
    x = 7,264,370.34/3,639.54
  6. Step 6: Final answer
    x = 1,995.96

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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.