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Finding the Fourth Proportional to 30,709.70, 42,391.85 and 19,958.16

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Solution

The fourth proportional to 30,709.70, 42,391.85 and 19,958.16 is: 27,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,709.70 : 42,391.85 = 19,958.16 : x
  2. Step 2: Convert to fraction form
    30,709.70/42,391.85 = 19,958.16/x
  3. Step 3: Cross multiply
    30,709.70x = 42,391.85 × 19,958.16
  4. Step 4: Simplify right side
    30,709.70x = 846,063,225.21
  5. Step 5: Solve for x
    x = 846,063,225.21/30,709.70
  6. Step 6: Final answer
    x = 27,550.36

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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.