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Finding the Fourth Proportional to 2,709.70, 4,060.43 and 1,931.34

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Solution

The fourth proportional to 2,709.70, 4,060.43 and 1,931.34 is: 2,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.70 : 4,060.43 = 1,931.34 : x
  2. Step 2: Convert to fraction form
    2,709.70/4,060.43 = 1,931.34/x
  3. Step 3: Cross multiply
    2,709.70x = 4,060.43 × 1,931.34
  4. Step 4: Simplify right side
    2,709.70x = 7,842,083.69
  5. Step 5: Solve for x
    x = 7,842,083.69/2,709.70
  6. Step 6: Final answer
    x = 2,894.07

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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.