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Finding the Fourth Proportional to 2,975.99, 4,107.29 and 2,477.79

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Solution

The fourth proportional to 2,975.99, 4,107.29 and 2,477.79 is: 3,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.99 : 4,107.29 = 2,477.79 : x
  2. Step 2: Convert to fraction form
    2,975.99/4,107.29 = 2,477.79/x
  3. Step 3: Cross multiply
    2,975.99x = 4,107.29 × 2,477.79
  4. Step 4: Simplify right side
    2,975.99x = 10,176,989.70
  5. Step 5: Solve for x
    x = 10,176,989.70/2,975.99
  6. Step 6: Final answer
    x = 3,419.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.