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Finding the Fourth Proportional to 20,435.40, 30,653.10 and 8,123.40

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Solution

The fourth proportional to 20,435.40, 30,653.10 and 8,123.40 is: 12,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,435.40 : 30,653.10 = 8,123.40 : x
  2. Step 2: Convert to fraction form
    20,435.40/30,653.10 = 8,123.40/x
  3. Step 3: Cross multiply
    20,435.40x = 30,653.10 × 8,123.40
  4. Step 4: Simplify right side
    20,435.40x = 249,007,392.54
  5. Step 5: Solve for x
    x = 249,007,392.54/20,435.40
  6. Step 6: Final answer
    x = 12,185.10

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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.