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Finding the Fourth Proportional to 2,955.99, 4,434.24 and 981.21

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Solution

The fourth proportional to 2,955.99, 4,434.24 and 981.21 is: 1,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.99 : 4,434.24 = 981.21 : x
  2. Step 2: Convert to fraction form
    2,955.99/4,434.24 = 981.21/x
  3. Step 3: Cross multiply
    2,955.99x = 4,434.24 × 981.21
  4. Step 4: Simplify right side
    2,955.99x = 4,350,940.94
  5. Step 5: Solve for x
    x = 4,350,940.94/2,955.99
  6. Step 6: Final answer
    x = 1,471.90

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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.