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Finding the Fourth Proportional to 3,439.81, 5,160.03 and 974.89

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Solution

The fourth proportional to 3,439.81, 5,160.03 and 974.89 is: 1,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.81 : 5,160.03 = 974.89 : x
  2. Step 2: Convert to fraction form
    3,439.81/5,160.03 = 974.89/x
  3. Step 3: Cross multiply
    3,439.81x = 5,160.03 × 974.89
  4. Step 4: Simplify right side
    3,439.81x = 5,030,461.65
  5. Step 5: Solve for x
    x = 5,030,461.65/3,439.81
  6. Step 6: Final answer
    x = 1,462.42

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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.