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Finding the Fourth Proportional to 13,738.42, 20,607.06 and 6,340.42

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Solution

The fourth proportional to 13,738.42, 20,607.06 and 6,340.42 is: 9,510.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.42 : 20,607.06 = 6,340.42 : x
  2. Step 2: Convert to fraction form
    13,738.42/20,607.06 = 6,340.42/x
  3. Step 3: Cross multiply
    13,738.42x = 20,607.06 × 6,340.42
  4. Step 4: Simplify right side
    13,738.42x = 130,657,415.37
  5. Step 5: Solve for x
    x = 130,657,415.37/13,738.42
  6. Step 6: Final answer
    x = 9,510.37

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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.