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Finding the Fourth Proportional to 13,356.40, 18,428.52 and 8,635

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Solution

The fourth proportional to 13,356.40, 18,428.52 and 8,635 is: 11,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,356.40 : 18,428.52 = 8,635 : x
  2. Step 2: Convert to fraction form
    13,356.40/18,428.52 = 8,635/x
  3. Step 3: Cross multiply
    13,356.40x = 18,428.52 × 8,635
  4. Step 4: Simplify right side
    13,356.40x = 159,130,270.20
  5. Step 5: Solve for x
    x = 159,130,270.20/13,356.40
  6. Step 6: Final answer
    x = 11,914.16

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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.