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Finding the Fourth Proportional to 13,710.57, 20,542.21 and 9,258.40

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Solution

The fourth proportional to 13,710.57, 20,542.21 and 9,258.40 is: 13,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.57 : 20,542.21 = 9,258.40 : x
  2. Step 2: Convert to fraction form
    13,710.57/20,542.21 = 9,258.40/x
  3. Step 3: Cross multiply
    13,710.57x = 20,542.21 × 9,258.40
  4. Step 4: Simplify right side
    13,710.57x = 190,187,999.60
  5. Step 5: Solve for x
    x = 190,187,999.60/13,710.57
  6. Step 6: Final answer
    x = 13,871.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.