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Finding the Fourth Proportional to 14,624.77, 20,182.19 and 7,910.40

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Solution

The fourth proportional to 14,624.77, 20,182.19 and 7,910.40 is: 10,916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624.77 : 20,182.19 = 7,910.40 : x
  2. Step 2: Convert to fraction form
    14,624.77/20,182.19 = 7,910.40/x
  3. Step 3: Cross multiply
    14,624.77x = 20,182.19 × 7,910.40
  4. Step 4: Simplify right side
    14,624.77x = 159,649,195.78
  5. Step 5: Solve for x
    x = 159,649,195.78/14,624.77
  6. Step 6: Final answer
    x = 10,916.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.