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Finding the Fourth Proportional to 13,561, 18,708.96 and 8,523.16

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Solution

The fourth proportional to 13,561, 18,708.96 and 8,523.16 is: 11,758.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561 : 18,708.96 = 8,523.16 : x
  2. Step 2: Convert to fraction form
    13,561/18,708.96 = 8,523.16/x
  3. Step 3: Cross multiply
    13,561x = 18,708.96 × 8,523.16
  4. Step 4: Simplify right side
    13,561x = 159,459,459.51
  5. Step 5: Solve for x
    x = 159,459,459.51/13,561
  6. Step 6: Final answer
    x = 11,758.68

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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.