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Finding the Fourth Proportional to 13,699.32, 20,549.74 and 6,685.32

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Solution

The fourth proportional to 13,699.32, 20,549.74 and 6,685.32 is: 10,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.32 : 20,549.74 = 6,685.32 : x
  2. Step 2: Convert to fraction form
    13,699.32/20,549.74 = 6,685.32/x
  3. Step 3: Cross multiply
    13,699.32x = 20,549.74 × 6,685.32
  4. Step 4: Simplify right side
    13,699.32x = 137,381,485.07
  5. Step 5: Solve for x
    x = 137,381,485.07/13,699.32
  6. Step 6: Final answer
    x = 10,028.34

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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.