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Finding the Fourth Proportional to 42,742, 58,982.88 and 23,879.26

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Solution

The fourth proportional to 42,742, 58,982.88 and 23,879.26 is: 32,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,742 : 58,982.88 = 23,879.26 : x
  2. Step 2: Convert to fraction form
    42,742/58,982.88 = 23,879.26/x
  3. Step 3: Cross multiply
    42,742x = 58,982.88 × 23,879.26
  4. Step 4: Simplify right side
    42,742x = 1,408,467,527.07
  5. Step 5: Solve for x
    x = 1,408,467,527.07/42,742
  6. Step 6: Final answer
    x = 32,952.78

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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.