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Finding the Fourth Proportional to 13,695.00, 18,899.96 and 7,724.49

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Solution

The fourth proportional to 13,695.00, 18,899.96 and 7,724.49 is: 10,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.00 : 18,899.96 = 7,724.49 : x
  2. Step 2: Convert to fraction form
    13,695.00/18,899.96 = 7,724.49/x
  3. Step 3: Cross multiply
    13,695.00x = 18,899.96 × 7,724.49
  4. Step 4: Simplify right side
    13,695.00x = 145,992,547.71
  5. Step 5: Solve for x
    x = 145,992,547.71/13,695.00
  6. Step 6: Final answer
    x = 10,660.28

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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.