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Finding the Fourth Proportional to 13,703, 18,892.94 and 11,182.56

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Solution

The fourth proportional to 13,703, 18,892.94 and 11,182.56 is: 15,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703 : 18,892.94 = 11,182.56 : x
  2. Step 2: Convert to fraction form
    13,703/18,892.94 = 11,182.56/x
  3. Step 3: Cross multiply
    13,703x = 18,892.94 × 11,182.56
  4. Step 4: Simplify right side
    13,703x = 211,271,435.13
  5. Step 5: Solve for x
    x = 211,271,435.13/13,703
  6. Step 6: Final answer
    x = 15,417.90

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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.