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Finding the Fourth Proportional to 3,159.81, 4,740.56 and 968.49

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Solution

The fourth proportional to 3,159.81, 4,740.56 and 968.49 is: 1,452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.81 : 4,740.56 = 968.49 : x
  2. Step 2: Convert to fraction form
    3,159.81/4,740.56 = 968.49/x
  3. Step 3: Cross multiply
    3,159.81x = 4,740.56 × 968.49
  4. Step 4: Simplify right side
    3,159.81x = 4,591,187.38
  5. Step 5: Solve for x
    x = 4,591,187.38/3,159.81
  6. Step 6: Final answer
    x = 1,452.99

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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.