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Finding the Fourth Proportional to 38,742, 58,134 and 29,994

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Solution

The fourth proportional to 38,742, 58,134 and 29,994 is: 45,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742 : 58,134 = 29,994 : x
  2. Step 2: Convert to fraction form
    38,742/58,134 = 29,994/x
  3. Step 3: Cross multiply
    38,742x = 58,134 × 29,994
  4. Step 4: Simplify right side
    38,742x = 1,743,671,196
  5. Step 5: Solve for x
    x = 1,743,671,196/38,742
  6. Step 6: Final answer
    x = 45,007.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.