Home / 13,826-20,701.20-9,670.16

Finding the Fourth Proportional to 13,826, 20,701.20 and 9,670.16

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Solution

The fourth proportional to 13,826, 20,701.20 and 9,670.16 is: 14,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826 : 20,701.20 = 9,670.16 : x
  2. Step 2: Convert to fraction form
    13,826/20,701.20 = 9,670.16/x
  3. Step 3: Cross multiply
    13,826x = 20,701.20 × 9,670.16
  4. Step 4: Simplify right side
    13,826x = 200,183,916.19
  5. Step 5: Solve for x
    x = 200,183,916.19/13,826
  6. Step 6: Final answer
    x = 14,478.80

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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.