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Finding the Fourth Proportional to 3,287.96, 4,931.82 and 979.40

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Solution

The fourth proportional to 3,287.96, 4,931.82 and 979.40 is: 1,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.96 : 4,931.82 = 979.40 : x
  2. Step 2: Convert to fraction form
    3,287.96/4,931.82 = 979.40/x
  3. Step 3: Cross multiply
    3,287.96x = 4,931.82 × 979.40
  4. Step 4: Simplify right side
    3,287.96x = 4,830,224.51
  5. Step 5: Solve for x
    x = 4,830,224.51/3,287.96
  6. Step 6: Final answer
    x = 1,469.06

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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.