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Finding the Fourth Proportional to 3,609.62, 5,411.19 and 1,299.50

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Solution

The fourth proportional to 3,609.62, 5,411.19 and 1,299.50 is: 1,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.62 : 5,411.19 = 1,299.50 : x
  2. Step 2: Convert to fraction form
    3,609.62/5,411.19 = 1,299.50/x
  3. Step 3: Cross multiply
    3,609.62x = 5,411.19 × 1,299.50
  4. Step 4: Simplify right side
    3,609.62x = 7,031,841.41
  5. Step 5: Solve for x
    x = 7,031,841.41/3,609.62
  6. Step 6: Final answer
    x = 1,948.08

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1.5x scale

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.