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Finding the Fourth Proportional to 3,123.99, 4,311.12 and 1,707.71

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Solution

The fourth proportional to 3,123.99, 4,311.12 and 1,707.71 is: 2,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.99 : 4,311.12 = 1,707.71 : x
  2. Step 2: Convert to fraction form
    3,123.99/4,311.12 = 1,707.71/x
  3. Step 3: Cross multiply
    3,123.99x = 4,311.12 × 1,707.71
  4. Step 4: Simplify right side
    3,123.99x = 7,362,121.18
  5. Step 5: Solve for x
    x = 7,362,121.18/3,123.99
  6. Step 6: Final answer
    x = 2,356.64

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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.