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Finding the Fourth Proportional to 30,941.92, 42,722.04 and 19,021.24

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Solution

The fourth proportional to 30,941.92, 42,722.04 and 19,021.24 is: 26,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.92 : 42,722.04 = 19,021.24 : x
  2. Step 2: Convert to fraction form
    30,941.92/42,722.04 = 19,021.24/x
  3. Step 3: Cross multiply
    30,941.92x = 42,722.04 × 19,021.24
  4. Step 4: Simplify right side
    30,941.92x = 812,626,176.13
  5. Step 5: Solve for x
    x = 812,626,176.13/30,941.92
  6. Step 6: Final answer
    x = 26,262.95

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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.