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Finding the Fourth Proportional to 13,685.80, 18,886.53 and 8,023.90

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Solution

The fourth proportional to 13,685.80, 18,886.53 and 8,023.90 is: 11,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.80 : 18,886.53 = 8,023.90 : x
  2. Step 2: Convert to fraction form
    13,685.80/18,886.53 = 8,023.90/x
  3. Step 3: Cross multiply
    13,685.80x = 18,886.53 × 8,023.90
  4. Step 4: Simplify right side
    13,685.80x = 151,543,628.07
  5. Step 5: Solve for x
    x = 151,543,628.07/13,685.80
  6. Step 6: Final answer
    x = 11,073.06

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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.