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Finding the Fourth Proportional to 13,428, 18,530.64 and 7,837.92

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Solution

The fourth proportional to 13,428, 18,530.64 and 7,837.92 is: 10,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428 : 18,530.64 = 7,837.92 : x
  2. Step 2: Convert to fraction form
    13,428/18,530.64 = 7,837.92/x
  3. Step 3: Cross multiply
    13,428x = 18,530.64 × 7,837.92
  4. Step 4: Simplify right side
    13,428x = 145,241,673.87
  5. Step 5: Solve for x
    x = 145,241,673.87/13,428
  6. Step 6: Final answer
    x = 10,816.33

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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.