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Finding the Fourth Proportional to 13,530, 18,671.37 and 7,561.68

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Solution

The fourth proportional to 13,530, 18,671.37 and 7,561.68 is: 10,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530 : 18,671.37 = 7,561.68 : x
  2. Step 2: Convert to fraction form
    13,530/18,671.37 = 7,561.68/x
  3. Step 3: Cross multiply
    13,530x = 18,671.37 × 7,561.68
  4. Step 4: Simplify right side
    13,530x = 141,186,925.10
  5. Step 5: Solve for x
    x = 141,186,925.10/13,530
  6. Step 6: Final answer
    x = 10,435.10

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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.