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Finding the Fourth Proportional to 13,068, 17,971.92 and 10,383.84

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Solution

The fourth proportional to 13,068, 17,971.92 and 10,383.84 is: 14,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,068 : 17,971.92 = 10,383.84 : x
  2. Step 2: Convert to fraction form
    13,068/17,971.92 = 10,383.84/x
  3. Step 3: Cross multiply
    13,068x = 17,971.92 × 10,383.84
  4. Step 4: Simplify right side
    13,068x = 186,617,541.77
  5. Step 5: Solve for x
    x = 186,617,541.77/13,068
  6. Step 6: Final answer
    x = 14,280.50

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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.