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Finding the Fourth Proportional to 16,090, 22,202.40 and 9,015.40

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Solution

The fourth proportional to 16,090, 22,202.40 and 9,015.40 is: 12,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090 : 22,202.40 = 9,015.40 : x
  2. Step 2: Convert to fraction form
    16,090/22,202.40 = 9,015.40/x
  3. Step 3: Cross multiply
    16,090x = 22,202.40 × 9,015.40
  4. Step 4: Simplify right side
    16,090x = 200,163,516.96
  5. Step 5: Solve for x
    x = 200,163,516.96/16,090
  6. Step 6: Final answer
    x = 12,440.24

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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.