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Finding the Fourth Proportional to 2,687.86, 3,709.20 and 1,492.84

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Solution

The fourth proportional to 2,687.86, 3,709.20 and 1,492.84 is: 2,060.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.86 : 3,709.20 = 1,492.84 : x
  2. Step 2: Convert to fraction form
    2,687.86/3,709.20 = 1,492.84/x
  3. Step 3: Cross multiply
    2,687.86x = 3,709.20 × 1,492.84
  4. Step 4: Simplify right side
    2,687.86x = 5,537,242.13
  5. Step 5: Solve for x
    x = 5,537,242.13/2,687.86
  6. Step 6: Final answer
    x = 2,060.09

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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.