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Finding the Fourth Proportional to 2,313.94, 3,193.12 and 1,429.82

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Solution

The fourth proportional to 2,313.94, 3,193.12 and 1,429.82 is: 1,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.94 : 3,193.12 = 1,429.82 : x
  2. Step 2: Convert to fraction form
    2,313.94/3,193.12 = 1,429.82/x
  3. Step 3: Cross multiply
    2,313.94x = 3,193.12 × 1,429.82
  4. Step 4: Simplify right side
    2,313.94x = 4,565,586.84
  5. Step 5: Solve for x
    x = 4,565,586.84/2,313.94
  6. Step 6: Final answer
    x = 1,973.08

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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.