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Finding the Fourth Proportional to 7,687.02, 11,532.38 and 2,492.90

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Solution

The fourth proportional to 7,687.02, 11,532.38 and 2,492.90 is: 3,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.02 : 11,532.38 = 2,492.90 : x
  2. Step 2: Convert to fraction form
    7,687.02/11,532.38 = 2,492.90/x
  3. Step 3: Cross multiply
    7,687.02x = 11,532.38 × 2,492.90
  4. Step 4: Simplify right side
    7,687.02x = 28,748,999.98
  5. Step 5: Solve for x
    x = 28,748,999.98/7,687.02
  6. Step 6: Final answer
    x = 3,739.94

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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.