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Finding the Fourth Proportional to 13,468, 18,585.84 and 7,880.08

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Solution

The fourth proportional to 13,468, 18,585.84 and 7,880.08 is: 10,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468 : 18,585.84 = 7,880.08 : x
  2. Step 2: Convert to fraction form
    13,468/18,585.84 = 7,880.08/x
  3. Step 3: Cross multiply
    13,468x = 18,585.84 × 7,880.08
  4. Step 4: Simplify right side
    13,468x = 146,457,906.07
  5. Step 5: Solve for x
    x = 146,457,906.07/13,468
  6. Step 6: Final answer
    x = 10,874.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.