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Finding the Fourth Proportional to 13,652.96, 18,821.04 and 9,661.76

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Solution

The fourth proportional to 13,652.96, 18,821.04 and 9,661.76 is: 13,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.96 : 18,821.04 = 9,661.76 : x
  2. Step 2: Convert to fraction form
    13,652.96/18,821.04 = 9,661.76/x
  3. Step 3: Cross multiply
    13,652.96x = 18,821.04 × 9,661.76
  4. Step 4: Simplify right side
    13,652.96x = 181,844,371.43
  5. Step 5: Solve for x
    x = 181,844,371.43/13,652.96
  6. Step 6: Final answer
    x = 13,319.04

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1.5x scale

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.