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Finding the Fourth Proportional to 13,066.68, 18,022.14 and 9,085.80

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Solution

The fourth proportional to 13,066.68, 18,022.14 and 9,085.80 is: 12,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.68 : 18,022.14 = 9,085.80 : x
  2. Step 2: Convert to fraction form
    13,066.68/18,022.14 = 9,085.80/x
  3. Step 3: Cross multiply
    13,066.68x = 18,022.14 × 9,085.80
  4. Step 4: Simplify right side
    13,066.68x = 163,745,559.61
  5. Step 5: Solve for x
    x = 163,745,559.61/13,066.68
  6. Step 6: Final answer
    x = 12,531.54

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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.