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Finding the Fourth Proportional to 13,396.64, 18,486.72 and 7,427.84

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Solution

The fourth proportional to 13,396.64, 18,486.72 and 7,427.84 is: 10,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,396.64 : 18,486.72 = 7,427.84 : x
  2. Step 2: Convert to fraction form
    13,396.64/18,486.72 = 7,427.84/x
  3. Step 3: Cross multiply
    13,396.64x = 18,486.72 × 7,427.84
  4. Step 4: Simplify right side
    13,396.64x = 137,316,398.28
  5. Step 5: Solve for x
    x = 137,316,398.28/13,396.64
  6. Step 6: Final answer
    x = 10,250.06

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1.5x scale

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.