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Finding the Fourth Proportional to 30,005.88, 41,406.38 and 17,920

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Solution

The fourth proportional to 30,005.88, 41,406.38 and 17,920 is: 24,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.88 : 41,406.38 = 17,920 : x
  2. Step 2: Convert to fraction form
    30,005.88/41,406.38 = 17,920/x
  3. Step 3: Cross multiply
    30,005.88x = 41,406.38 × 17,920
  4. Step 4: Simplify right side
    30,005.88x = 742,002,329.60
  5. Step 5: Solve for x
    x = 742,002,329.60/30,005.88
  6. Step 6: Final answer
    x = 24,728.56

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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.