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Finding the Fourth Proportional to 13,777.70, 20,658.24 and 9,340.82

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Solution

The fourth proportional to 13,777.70, 20,658.24 and 9,340.82 is: 14,005.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.70 : 20,658.24 = 9,340.82 : x
  2. Step 2: Convert to fraction form
    13,777.70/20,658.24 = 9,340.82/x
  3. Step 3: Cross multiply
    13,777.70x = 20,658.24 × 9,340.82
  4. Step 4: Simplify right side
    13,777.70x = 192,964,875.53
  5. Step 5: Solve for x
    x = 192,964,875.53/13,777.70
  6. Step 6: Final answer
    x = 14,005.60

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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.