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Finding the Fourth Proportional to 3,289.96, 4,934.80 and 981.40

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Solution

The fourth proportional to 3,289.96, 4,934.80 and 981.40 is: 1,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.96 : 4,934.80 = 981.40 : x
  2. Step 2: Convert to fraction form
    3,289.96/4,934.80 = 981.40/x
  3. Step 3: Cross multiply
    3,289.96x = 4,934.80 × 981.40
  4. Step 4: Simplify right side
    3,289.96x = 4,843,012.72
  5. Step 5: Solve for x
    x = 4,843,012.72/3,289.96
  6. Step 6: Final answer
    x = 1,472.06

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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.