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Finding the Fourth Proportional to 30,406.50, 41,960.97 and 17,158.50

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Solution

The fourth proportional to 30,406.50, 41,960.97 and 17,158.50 is: 23,678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.50 : 41,960.97 = 17,158.50 : x
  2. Step 2: Convert to fraction form
    30,406.50/41,960.97 = 17,158.50/x
  3. Step 3: Cross multiply
    30,406.50x = 41,960.97 × 17,158.50
  4. Step 4: Simplify right side
    30,406.50x = 719,987,303.75
  5. Step 5: Solve for x
    x = 719,987,303.75/30,406.50
  6. Step 6: Final answer
    x = 23,678.73

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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.