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Finding the Fourth Proportional to 3,010.29, 4,513.78 and 929.72

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Solution

The fourth proportional to 3,010.29, 4,513.78 and 929.72 is: 1,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.29 : 4,513.78 = 929.72 : x
  2. Step 2: Convert to fraction form
    3,010.29/4,513.78 = 929.72/x
  3. Step 3: Cross multiply
    3,010.29x = 4,513.78 × 929.72
  4. Step 4: Simplify right side
    3,010.29x = 4,196,551.54
  5. Step 5: Solve for x
    x = 4,196,551.54/3,010.29
  6. Step 6: Final answer
    x = 1,394.07

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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.