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Finding the Fourth Proportional to 2,572.26, 3,860.46 and 929.97

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Solution

The fourth proportional to 2,572.26, 3,860.46 and 929.97 is: 1,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.26 : 3,860.46 = 929.97 : x
  2. Step 2: Convert to fraction form
    2,572.26/3,860.46 = 929.97/x
  3. Step 3: Cross multiply
    2,572.26x = 3,860.46 × 929.97
  4. Step 4: Simplify right side
    2,572.26x = 3,590,111.99
  5. Step 5: Solve for x
    x = 3,590,111.99/2,572.26
  6. Step 6: Final answer
    x = 1,395.70

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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.