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Finding the Fourth Proportional to 13,688.80, 20,500.80 and 9,282.40

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Solution

The fourth proportional to 13,688.80, 20,500.80 and 9,282.40 is: 13,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.80 : 20,500.80 = 9,282.40 : x
  2. Step 2: Convert to fraction form
    13,688.80/20,500.80 = 9,282.40/x
  3. Step 3: Cross multiply
    13,688.80x = 20,500.80 × 9,282.40
  4. Step 4: Simplify right side
    13,688.80x = 190,296,625.92
  5. Step 5: Solve for x
    x = 190,296,625.92/13,688.80
  6. Step 6: Final answer
    x = 13,901.63

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1.5x scale

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.