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Finding the Fourth Proportional to 14,640, 20,196 and 9,925.76

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Solution

The fourth proportional to 14,640, 20,196 and 9,925.76 is: 13,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640 : 20,196 = 9,925.76 : x
  2. Step 2: Convert to fraction form
    14,640/20,196 = 9,925.76/x
  3. Step 3: Cross multiply
    14,640x = 20,196 × 9,925.76
  4. Step 4: Simplify right side
    14,640x = 200,460,648.96
  5. Step 5: Solve for x
    x = 200,460,648.96/14,640
  6. Step 6: Final answer
    x = 13,692.67

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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.