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Finding the Fourth Proportional to 13,416.64, 18,507.36 and 8,440

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Solution

The fourth proportional to 13,416.64, 18,507.36 and 8,440 is: 11,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.64 : 18,507.36 = 8,440 : x
  2. Step 2: Convert to fraction form
    13,416.64/18,507.36 = 8,440/x
  3. Step 3: Cross multiply
    13,416.64x = 18,507.36 × 8,440
  4. Step 4: Simplify right side
    13,416.64x = 156,202,118.40
  5. Step 5: Solve for x
    x = 156,202,118.40/13,416.64
  6. Step 6: Final answer
    x = 11,642.42

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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.