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Finding the Fourth Proportional to 12,492.81, 18,745.29 and 5,911.16

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Solution

The fourth proportional to 12,492.81, 18,745.29 and 5,911.16 is: 8,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.81 : 18,745.29 = 5,911.16 : x
  2. Step 2: Convert to fraction form
    12,492.81/18,745.29 = 5,911.16/x
  3. Step 3: Cross multiply
    12,492.81x = 18,745.29 × 5,911.16
  4. Step 4: Simplify right side
    12,492.81x = 110,806,314.71
  5. Step 5: Solve for x
    x = 110,806,314.71/12,492.81
  6. Step 6: Final answer
    x = 8,869.61

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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.