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Finding the Fourth Proportional to 13,411.62, 18,493.65 and 9,828.18

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Solution

The fourth proportional to 13,411.62, 18,493.65 and 9,828.18 is: 13,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.62 : 18,493.65 = 9,828.18 : x
  2. Step 2: Convert to fraction form
    13,411.62/18,493.65 = 9,828.18/x
  3. Step 3: Cross multiply
    13,411.62x = 18,493.65 × 9,828.18
  4. Step 4: Simplify right side
    13,411.62x = 181,758,921.06
  5. Step 5: Solve for x
    x = 181,758,921.06/13,411.62
  6. Step 6: Final answer
    x = 13,552.35

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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.