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Finding the Fourth Proportional to 13,033.48, 17,985.76 and 7,725.15

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Solution

The fourth proportional to 13,033.48, 17,985.76 and 7,725.15 is: 10,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.48 : 17,985.76 = 7,725.15 : x
  2. Step 2: Convert to fraction form
    13,033.48/17,985.76 = 7,725.15/x
  3. Step 3: Cross multiply
    13,033.48x = 17,985.76 × 7,725.15
  4. Step 4: Simplify right side
    13,033.48x = 138,942,693.86
  5. Step 5: Solve for x
    x = 138,942,693.86/13,033.48
  6. Step 6: Final answer
    x = 10,660.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.