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Finding the Fourth Proportional to 13,765.88, 20,648.82 and 9,835.04

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Solution

The fourth proportional to 13,765.88, 20,648.82 and 9,835.04 is: 14,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.88 : 20,648.82 = 9,835.04 : x
  2. Step 2: Convert to fraction form
    13,765.88/20,648.82 = 9,835.04/x
  3. Step 3: Cross multiply
    13,765.88x = 20,648.82 × 9,835.04
  4. Step 4: Simplify right side
    13,765.88x = 203,081,970.65
  5. Step 5: Solve for x
    x = 203,081,970.65/13,765.88
  6. Step 6: Final answer
    x = 14,752.56

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1.5x scale

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.